{"id":"https://openalex.org/W2089550756","doi":"https://doi.org/10.1155/2012/454579","title":"Approximation Theorems for Generalized Complex Kantorovich\u2010Type Operators","display_name":"Approximation Theorems for Generalized Complex Kantorovich\u2010Type Operators","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2089550756","doi":"https://doi.org/10.1155/2012/454579","mag":"2089550756"},"language":"en","primary_location":{"id":"doi:10.1155/2012/454579","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/454579","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/454579.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","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/jam/2012/454579.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037407023","display_name":"Naz\u0131m I. Mahmudov","orcid":"https://orcid.org/0000-0003-3943-1732"},"institutions":[{"id":"https://openalex.org/I36515993","display_name":"Eastern Mediterranean University","ror":"https://ror.org/00excyz84","country_code":"CY","type":"education","lineage":["https://openalex.org/I36515993"]}],"countries":["CY"],"is_corresponding":true,"raw_author_name":"N. I. Mahmudov","raw_affiliation_strings":["Eastern Mediterranean University, Gazimagusa, T.R. North Cyprus, Mersiin 10"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eastern Mediterranean University, Gazimagusa, T.R. North Cyprus, Mersiin 10","institution_ids":["https://openalex.org/I36515993"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017322803","display_name":"Mustafa Kara","orcid":"https://orcid.org/0000-0003-3091-5781"},"institutions":[{"id":"https://openalex.org/I36515993","display_name":"Eastern Mediterranean University","ror":"https://ror.org/00excyz84","country_code":"CY","type":"education","lineage":["https://openalex.org/I36515993"]}],"countries":["CY"],"is_corresponding":false,"raw_author_name":"M. Kara","raw_affiliation_strings":["Eastern Mediterranean University, Gazimagusa, T.R. North Cyprus, Mersiin 10"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eastern Mediterranean University, Gazimagusa, T.R. North Cyprus, Mersiin 10","institution_ids":["https://openalex.org/I36515993"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5037407023"],"corresponding_institution_ids":["https://openalex.org/I36515993"],"apc_list":{"value":1130,"currency":"USD","value_usd":1130},"apc_paid":{"value":1130,"currency":"USD","value_usd":1130},"fwci":2.2906,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.8817447,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9962999820709229,"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":0.9962999820709229,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7238374352455139},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.721837043762207},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41818124055862427},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3677511215209961},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3374384641647339},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3213934600353241},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.06404358148574829}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7238374352455139},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.721837043762207},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41818124055862427},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3677511215209961},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3374384641647339},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3213934600353241},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.06404358148574829},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2012/454579","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/454579","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/454579.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1357153517","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1357153517","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:454579","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/454579.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:f5afc35fe0f346baa2b30e936c5beec9","is_oa":true,"landing_page_url":"https://doaj.org/article/f5afc35fe0f346baa2b30e936c5beec9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"},{"id":"pmh:oai:i-rep.emu.edu.tr:11129/15516","is_oa":true,"landing_page_url":"https://hdl.handle.net/11129/15516","pdf_url":null,"source":{"id":"https://openalex.org/S4306402300","display_name":"Eastern Mediterranean University Institutional Repository (Eastern Mediterranean University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36515993","host_organization_name":"Eastern Mediterranean University","host_organization_lineage":["https://openalex.org/I36515993"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1155/2012/454579","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/454579","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/454579.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2089550756.pdf","grobid_xml":"https://content.openalex.org/works/W2089550756.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W562172937","https://openalex.org/W1971507256","https://openalex.org/W1998007337","https://openalex.org/W2004499897","https://openalex.org/W2008886748","https://openalex.org/W2011428683","https://openalex.org/W2020614328","https://openalex.org/W2030164958","https://openalex.org/W2035287703","https://openalex.org/W2038120965","https://openalex.org/W2056729938","https://openalex.org/W2074763316","https://openalex.org/W2954011842"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1973641256","https://openalex.org/W2089274067","https://openalex.org/W56994397","https://openalex.org/W1121942432","https://openalex.org/W2418069309","https://openalex.org/W2376158287","https://openalex.org/W1526165314","https://openalex.org/W2359859943","https://openalex.org/W2993306360"],"abstract_inverted_index":{"The":[0],"order":[1,60],"of":[2,49,59],"simultaneous":[3],"approximation":[4,50],"and":[5],"Voronovskaja\u2010type":[6],"results":[7],"with":[8],"quantitative":[9],"estimate":[10],"for":[11,33,64],"complex":[12],"q\u2010Kantorovich":[13,53],"polynomials":[14],"(q":[15,55],">":[16,45,56],"0)":[17],"attached":[18],"to":[19],"analytic":[20,35],"functions":[21,34],"on":[22],"compact":[23],"disks":[24],"are":[25],"obtained.":[26],"In":[27],"particular,":[28],"it":[29],"is":[30,58],"proved":[31],"that":[32],"in":[36],"{z":[37],"\u2208":[38],"\u2102":[39],":":[40],"|z|":[41],"<":[42],"R},":[43],"R":[44],"q,":[46],"the":[47,52,65],"rate":[48],"by":[51],"operators":[54],"1)":[57],"q\u2212n":[61],"versus":[62],"1/n":[63],"classical":[66],"Kantorovich":[67],"operators.":[68]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}