{"id":"https://openalex.org/W4390240721","doi":"https://doi.org/10.3934/mfc.2023051","title":"On modification of Jain operators and its approximation properties","display_name":"On modification of Jain operators and its approximation properties","publication_year":2023,"publication_date":"2023-12-26","ids":{"openalex":"https://openalex.org/W4390240721","doi":"https://doi.org/10.3934/mfc.2023051"},"language":"en","primary_location":{"id":"doi:10.3934/mfc.2023051","is_oa":true,"landing_page_url":"https://doi.org/10.3934/mfc.2023051","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=65893ab692d3ad47ddcab82e","source":{"id":"https://openalex.org/S4210238810","display_name":"Mathematical Foundations of Computing","issn_l":"2577-8838","issn":["2577-8838"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Foundations of Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.aimsciences.org/data/article/export-pdf?id=65893ab692d3ad47ddcab82e","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047337154","display_name":"Prashantkumar Patel","orcid":"https://orcid.org/0000-0002-8184-1199"},"institutions":[{"id":"https://openalex.org/I57085157","display_name":"Sardar Patel University","ror":"https://ror.org/05kfstc28","country_code":"IN","type":"education","lineage":["https://openalex.org/I57085157"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Prashantkumar Patel","raw_affiliation_strings":["Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar-388 120 (Gujarat), India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar-388 120 (Gujarat), India","institution_ids":["https://openalex.org/I57085157"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009385455","display_name":"Vishnu Narayan Mishra","orcid":"https://orcid.org/0000-0002-2159-7710"},"institutions":[{"id":"https://openalex.org/I296362101","display_name":"Indira Gandhi National Tribal University","ror":"https://ror.org/04yayy336","country_code":"IN","type":"education","lineage":["https://openalex.org/I296362101"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vishnu Narayan Mishra","raw_affiliation_strings":["Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak 484 887 (Madhya Pradesh), India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak 484 887 (Madhya Pradesh), India","institution_ids":["https://openalex.org/I296362101"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19114754,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":"2","first_page":"194","last_page":"208"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":1.0,"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":1.0,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9955999851226807,"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"}},{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9876000285148621,"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/mathematics","display_name":"Mathematics","score":0.7033403515815735},{"id":"https://openalex.org/keywords/bounded-variation","display_name":"Bounded variation","score":0.6981622576713562},{"id":"https://openalex.org/keywords/linear-operators","display_name":"Linear operators","score":0.6723548173904419},{"id":"https://openalex.org/keywords/operator-theory","display_name":"Operator theory","score":0.625855565071106},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5427818894386292},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5084196925163269},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.47744041681289673},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4724229574203491},{"id":"https://openalex.org/keywords/operator-norm","display_name":"Operator norm","score":0.4510277807712555},{"id":"https://openalex.org/keywords/baskakov-operator","display_name":"Baskakov operator","score":0.43809816241264343},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.43345165252685547},{"id":"https://openalex.org/keywords/fourier-integral-operator","display_name":"Fourier integral operator","score":0.40143299102783203},{"id":"https://openalex.org/keywords/microlocal-analysis","display_name":"Microlocal analysis","score":0.32596713304519653},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32455602288246155},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3209817409515381},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18750160932540894},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16971921920776367},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.06348270177841187},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.050391823053359985}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7033403515815735},{"id":"https://openalex.org/C27851653","wikidata":"https://www.wikidata.org/wiki/Q829653","display_name":"Bounded variation","level":2,"score":0.6981622576713562},{"id":"https://openalex.org/C3019018024","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear operators","level":3,"score":0.6723548173904419},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.625855565071106},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5427818894386292},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5084196925163269},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.47744041681289673},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4724229574203491},{"id":"https://openalex.org/C68386474","wikidata":"https://www.wikidata.org/wiki/Q980557","display_name":"Operator norm","level":3,"score":0.4510277807712555},{"id":"https://openalex.org/C101346110","wikidata":"https://www.wikidata.org/wiki/Q4867603","display_name":"Baskakov operator","level":5,"score":0.43809816241264343},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.43345165252685547},{"id":"https://openalex.org/C191832335","wikidata":"https://www.wikidata.org/wiki/Q4262191","display_name":"Fourier integral operator","level":3,"score":0.40143299102783203},{"id":"https://openalex.org/C129683796","wikidata":"https://www.wikidata.org/wiki/Q430450","display_name":"Microlocal analysis","level":4,"score":0.32596713304519653},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32455602288246155},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3209817409515381},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18750160932540894},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16971921920776367},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.06348270177841187},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.050391823053359985},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/mfc.2023051","is_oa":true,"landing_page_url":"https://doi.org/10.3934/mfc.2023051","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=65893ab692d3ad47ddcab82e","source":{"id":"https://openalex.org/S4210238810","display_name":"Mathematical Foundations of Computing","issn_l":"2577-8838","issn":["2577-8838"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Foundations of Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3934/mfc.2023051","is_oa":true,"landing_page_url":"https://doi.org/10.3934/mfc.2023051","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=65893ab692d3ad47ddcab82e","source":{"id":"https://openalex.org/S4210238810","display_name":"Mathematical Foundations of Computing","issn_l":"2577-8838","issn":["2577-8838"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Foundations of Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5699999928474426,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4390240721.pdf"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1612211501","https://openalex.org/W1988817602","https://openalex.org/W1989203263","https://openalex.org/W1991533588","https://openalex.org/W1996048535","https://openalex.org/W2008064308","https://openalex.org/W2021065822","https://openalex.org/W2028771500","https://openalex.org/W2035620515","https://openalex.org/W2046029449","https://openalex.org/W2113694353","https://openalex.org/W2114218307","https://openalex.org/W2119766038","https://openalex.org/W2331756403","https://openalex.org/W2472090711","https://openalex.org/W2626054497","https://openalex.org/W2897248061","https://openalex.org/W2898088541","https://openalex.org/W2904048560","https://openalex.org/W2963231481","https://openalex.org/W2989253080","https://openalex.org/W3008665592","https://openalex.org/W3125249539","https://openalex.org/W3127795058","https://openalex.org/W3217459150","https://openalex.org/W4205125725","https://openalex.org/W4205354563","https://openalex.org/W4310253114"],"related_works":["https://openalex.org/W633515059","https://openalex.org/W1004063606","https://openalex.org/W2391096262","https://openalex.org/W2952252896","https://openalex.org/W2040251029","https://openalex.org/W2077619609","https://openalex.org/W1966508971","https://openalex.org/W2950699279","https://openalex.org/W2964214712","https://openalex.org/W101044013"],"abstract_inverted_index":{"In":[0],"the":[1,4,27],"present":[2],"paper,":[3],"authors":[5],"introduce":[6],"and":[7],"investigate":[8],"new":[9],"sequences":[10],"of":[11,29,35,40,43],"positive":[12],"linear":[13],"operators":[14,20,42],"which":[15],"include":[16],"some":[17],"well":[18],"known":[19],"as":[21],"special":[22],"cases.":[23],"Here,":[24],"we":[25],"estimate":[26],"rate":[28],"convergence":[30],"for":[31],"functions":[32],"having":[33],"derivatives":[34],"bounded":[36],"variation":[37],"by":[38],"families":[39],"Jain":[41],"integral":[44],"type.":[45]},"counts_by_year":[],"updated_date":"2026-01-20T17:24:06.736184","created_date":"2025-10-10T00:00:00"}
