{"id":"https://openalex.org/W3010760172","doi":"https://doi.org/10.1155/2020/5698568","title":"Weighted Simultaneous Approximation of the Linear Combinations of Baskakov Operators","display_name":"Weighted Simultaneous Approximation of the Linear Combinations of Baskakov Operators","publication_year":2020,"publication_date":"2020-03-19","ids":{"openalex":"https://openalex.org/W3010760172","doi":"https://doi.org/10.1155/2020/5698568","mag":"3010760172"},"language":"en","primary_location":{"id":"doi:10.1155/2020/5698568","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/5698568","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/5698568.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2020/5698568.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103189463","display_name":"Tang Xiao-jun","orcid":"https://orcid.org/0000-0003-2350-3420"},"institutions":[{"id":"https://openalex.org/I14748160","display_name":"Jinggangshan University","ror":"https://ror.org/04exd0a76","country_code":"CN","type":"education","lineage":["https://openalex.org/I14748160"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiao-jun Tang","raw_affiliation_strings":["School of Mathematics and Physics, Jinggangshan University, Ji\u2019an 343009, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Jinggangshan University, Ji\u2019an 343009, China","institution_ids":["https://openalex.org/I14748160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101876843","display_name":"Xinchang Wang","orcid":"https://orcid.org/0000-0001-6260-9282"},"institutions":[{"id":"https://openalex.org/I14748160","display_name":"Jinggangshan University","ror":"https://ror.org/04exd0a76","country_code":"CN","type":"education","lineage":["https://openalex.org/I14748160"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin-chang Wang","raw_affiliation_strings":["School of Mathematics and Physics, Jinggangshan University, Ji\u2019an 343009, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Jinggangshan University, Ji\u2019an 343009, China","institution_ids":["https://openalex.org/I14748160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056916690","display_name":"Hua Yi","orcid":"https://orcid.org/0000-0002-7121-2890"},"institutions":[{"id":"https://openalex.org/I14748160","display_name":"Jinggangshan University","ror":"https://ror.org/04exd0a76","country_code":"CN","type":"education","lineage":["https://openalex.org/I14748160"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hua Yi","raw_affiliation_strings":["School of Mathematics and Physics, Jinggangshan University, Ji\u2019an 343009, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Jinggangshan University, Ji\u2019an 343009, China","institution_ids":["https://openalex.org/I14748160"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103189463"],"corresponding_institution_ids":["https://openalex.org/I14748160"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.4411,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64019659,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10924","display_name":"Cardiovascular Health and Disease Prevention","score":0.932200014591217,"subfield":{"id":"https://openalex.org/subfields/2705","display_name":"Cardiology and Cardiovascular Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9028000235557556,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/baskakov-operator","display_name":"Baskakov operator","score":0.9375220537185669},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7491886615753174},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6462088823318481},{"id":"https://openalex.org/keywords/linear-approximation","display_name":"Linear approximation","score":0.5206964612007141},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49628835916519165},{"id":"https://openalex.org/keywords/linear-operators","display_name":"Linear operators","score":0.4483182430267334},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4388551712036133},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4251460134983063},{"id":"https://openalex.org/keywords/linear-map","display_name":"Linear map","score":0.4199780523777008},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3656526803970337},{"id":"https://openalex.org/keywords/operator-theory","display_name":"Operator theory","score":0.24072682857513428},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23590749502182007},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.14179077744483948},{"id":"https://openalex.org/keywords/microlocal-analysis","display_name":"Microlocal analysis","score":0.09335914254188538},{"id":"https://openalex.org/keywords/fourier-integral-operator","display_name":"Fourier integral operator","score":0.06729301810264587},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06676304340362549},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0511837899684906}],"concepts":[{"id":"https://openalex.org/C101346110","wikidata":"https://www.wikidata.org/wiki/Q4867603","display_name":"Baskakov operator","level":5,"score":0.9375220537185669},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7491886615753174},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6462088823318481},{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.5206964612007141},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49628835916519165},{"id":"https://openalex.org/C3019018024","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear operators","level":3,"score":0.4483182430267334},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4388551712036133},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4251460134983063},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.4199780523777008},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3656526803970337},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.24072682857513428},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23590749502182007},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.14179077744483948},{"id":"https://openalex.org/C129683796","wikidata":"https://www.wikidata.org/wiki/Q430450","display_name":"Microlocal analysis","level":4,"score":0.09335914254188538},{"id":"https://openalex.org/C191832335","wikidata":"https://www.wikidata.org/wiki/Q4262191","display_name":"Fourier integral operator","level":3,"score":0.06729301810264587},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06676304340362549},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0511837899684906},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2020/5698568","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/5698568","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/5698568.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:5698568","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2020/5698568.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:b155048703dd4af28a52cba56af52172","is_oa":true,"landing_page_url":"https://doaj.org/article/b155048703dd4af28a52cba56af52172","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2020 (2020)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2020/5698568","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/5698568","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2020/5698568","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/5698568","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/5698568.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G214439927","display_name":null,"funder_award_id":"GJJ180583","funder_id":"https://openalex.org/F4320325626","funder_display_name":"Education Department of Jiangxi Province"},{"id":"https://openalex.org/G2708347048","display_name":null,"funder_award_id":"GJJ180565","funder_id":"https://openalex.org/F4320325626","funder_display_name":"Education Department of Jiangxi Province"},{"id":"https://openalex.org/G2948471897","display_name":null,"funder_award_id":"GJJ190551","funder_id":"https://openalex.org/F4320328643","funder_display_name":"Jinggangshan University"},{"id":"https://openalex.org/G3284414972","display_name":null,"funder_award_id":"GJJ180565","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4009049029","display_name":null,"funder_award_id":"Startup","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4020255992","display_name":null,"funder_award_id":"Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4286091257","display_name":null,"funder_award_id":"B17002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5781324029","display_name":null,"funder_award_id":"GJJ180583","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6693441099","display_name":null,"funder_award_id":"JZB17002","funder_id":"https://openalex.org/F4320328643","funder_display_name":"Jinggangshan University"},{"id":"https://openalex.org/G7817331968","display_name":null,"funder_award_id":"GJJ190551","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8115297940","display_name":null,"funder_award_id":"41662018","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8239425073","display_name":null,"funder_award_id":"JZB17002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320325626","display_name":"Education Department of Jiangxi Province","ror":null},{"id":"https://openalex.org/F4320328643","display_name":"Jinggangshan University","ror":"https://ror.org/04exd0a76"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3010760172.pdf","grobid_xml":"https://content.openalex.org/works/W3010760172.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1963960379","https://openalex.org/W1978526666","https://openalex.org/W1983380428","https://openalex.org/W2039167865","https://openalex.org/W2083610753","https://openalex.org/W2114218307","https://openalex.org/W2330802357","https://openalex.org/W2345507041","https://openalex.org/W2546121467","https://openalex.org/W2799740073","https://openalex.org/W2901702033","https://openalex.org/W4236866803"],"related_works":["https://openalex.org/W2114218307","https://openalex.org/W178721319","https://openalex.org/W2099328501","https://openalex.org/W4253699166","https://openalex.org/W3215227849","https://openalex.org/W2133601856","https://openalex.org/W2066792223","https://openalex.org/W2171293970","https://openalex.org/W3031309521","https://openalex.org/W2792663541"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,7,23,29,34],"approximation":[4,32],"property":[5],"of":[6,10,33,37],"linear":[8,35],"combinations":[9,36],"Baskakov":[11,38],"operators":[12,39],"is":[13],"investigated":[14],"by":[15],"using":[16],"a":[17],"Jacobi":[18],"weight":[19],"function.":[20],"Moreover,":[21],"both":[22],"positive":[24],"and":[25],"inverse":[26],"theorems":[27],"for":[28],"weighted":[30],"simultaneous":[31],"are":[40],"proved.":[41]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}
