{"id":"https://openalex.org/W3013651569","doi":"https://doi.org/10.1007/s10998-020-00337-y","title":"Convergence of linking Baskakov-type operators","display_name":"Convergence of linking Baskakov-type operators","publication_year":2020,"publication_date":"2020-03-26","ids":{"openalex":"https://openalex.org/W3013651569","doi":"https://doi.org/10.1007/s10998-020-00337-y","mag":"3013651569"},"language":"lv","primary_location":{"id":"doi:10.1007/s10998-020-00337-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10998-020-00337-y","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/s10998-020-00337-y","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034622330","display_name":"Ulrich Abel","orcid":"https://orcid.org/0000-0003-1889-4850"},"institutions":[{"id":"https://openalex.org/I45155027","display_name":"Technische Hochschule Mittelhessen","ror":"https://ror.org/02qdc9985","country_code":"DE","type":"education","lineage":["https://openalex.org/I45155027"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Ulrich Abel","raw_affiliation_strings":["Department MND, Technische Hochschule Mittelhessen, Wilhelm-Leuschner-Stra\u00dfe 13, 61169, Friedberg, Germany","Department MND, Technische Hochschule Mittelhessen, Friedberg, Germany"],"raw_orcid":"https://orcid.org/0000-0003-1889-4850","affiliations":[{"raw_affiliation_string":"Department MND, Technische Hochschule Mittelhessen, Wilhelm-Leuschner-Stra\u00dfe 13, 61169, Friedberg, Germany","institution_ids":["https://openalex.org/I45155027"]},{"raw_affiliation_string":"Department MND, Technische Hochschule Mittelhessen, Friedberg, Germany","institution_ids":["https://openalex.org/I45155027"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036479794","display_name":"Margareta Heilmann","orcid":"https://orcid.org/0000-0002-1283-7444"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Margareta Heilmann","raw_affiliation_strings":["School of Mathematics and Natural Sciences, University of Wuppertal, Gau\u00dfstra\u00dfe 20, 42119, Wuppertal, Germany","School of Mathematics and Natural Sciences, University of Wuppertal, Wuppertal, Germany"],"raw_orcid":"https://orcid.org/0000-0002-1283-7444","affiliations":[{"raw_affiliation_string":"School of Mathematics and Natural Sciences, University of Wuppertal, Gau\u00dfstra\u00dfe 20, 42119, Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494"]},{"raw_affiliation_string":"School of Mathematics and Natural Sciences, University of Wuppertal, Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062021486","display_name":"Vitaliy Kushnirevych","orcid":"https://orcid.org/0000-0002-0497-2697"},"institutions":[{"id":"https://openalex.org/I45155027","display_name":"Technische Hochschule Mittelhessen","ror":"https://ror.org/02qdc9985","country_code":"DE","type":"education","lineage":["https://openalex.org/I45155027"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Vitaliy Kushnirevych","raw_affiliation_strings":["Department MND, Technische Hochschule Mittelhessen, Wilhelm-Leuschner-Stra\u00dfe 13, 61169, Friedberg, Germany","Department MND, Technische Hochschule Mittelhessen, Friedberg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department MND, Technische Hochschule Mittelhessen, Wilhelm-Leuschner-Stra\u00dfe 13, 61169, Friedberg, Germany","institution_ids":["https://openalex.org/I45155027"]},{"raw_affiliation_string":"Department MND, Technische Hochschule Mittelhessen, Friedberg, Germany","institution_ids":["https://openalex.org/I45155027"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034622330"],"corresponding_institution_ids":["https://openalex.org/I45155027"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.4431,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64226384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"80","issue":"2","first_page":"280","last_page":"288"},"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/algorithm","display_name":"Algorithm","score":0.5562564730644226},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2540774643421173}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5562564730644226},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2540774643421173}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10998-020-00337-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10998-020-00337-y","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10998-020-00337-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10998-020-00337-y","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W75743410","https://openalex.org/W2014565579","https://openalex.org/W2036459643","https://openalex.org/W2065136023","https://openalex.org/W2177196084","https://openalex.org/W2315137933","https://openalex.org/W2317495663"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2317200988","https://openalex.org/W2544423928","https://openalex.org/W2052122378","https://openalex.org/W2779362453","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2073681303","https://openalex.org/W2181413294"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper":[3,45],"we":[4,81],"consider":[5],"a":[6,31,78],"link":[7],"$$B_{n,\\rho":[8],"}$$":[9,17],"<mml:math":[10,18,27,37,63,70,75],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msub><mml:mi>B</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi>\u03c1</mml:mi></mml:mrow></mml:msub></mml:math>":[11],"between":[12],"Baskakov":[13],"type":[14,23],"operators":[15,24],"$$B_{n,\\infty":[16],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msub><mml:mi>B</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi>\u221e</mml:mi></mml:mrow></mml:msub></mml:math>":[19],"and":[20],"genuine":[21],"Baskakov\u2013Durrmeyer":[22],"$$":[25,36,62,69],"B_{n,1}$$":[26],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msub><mml:mi>B</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math>":[28],"depending":[29],"on":[30,85],"positive":[32,91],"real":[33,92],"parameter":[34],"$$\\rho":[35,66],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>\u03c1</mml:mi></mml:math>":[38],".":[39],"The":[40],"topic":[41],"of":[42,89,99],"the":[43,47,90],"present":[44],"is":[46],"pointwise":[48],"limit":[49],"relation":[50],"$$\\left(":[51],"B_{n,\\rho":[52],"}f\\right)":[53,59],"\\left(":[54,57,60],"x\\right)":[55,61],"\\rightarrow":[56,67],"B_{n,\\infty":[58],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mfenced><mml:msub><mml:mi>B</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi>\u03c1</mml:mi></mml:mrow></mml:msub><mml:mi>f</mml:mi></mml:mfenced><mml:mfenced><mml:mi>x</mml:mi></mml:mfenced><mml:mo>\u2192</mml:mo><mml:mfenced><mml:msub><mml:mi>B</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi>\u221e</mml:mi></mml:mrow></mml:msub><mml:mi>f</mml:mi></mml:mfenced><mml:mfenced><mml:mi>x</mml:mi></mml:mfenced></mml:mrow></mml:math>":[64],"as":[65],"\\infty":[68],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>\u03c1</mml:mi><mml:mo>\u2192</mml:mo><mml:mi>\u221e</mml:mi></mml:mrow></mml:math>":[71],"for":[72,94],"$$x\\ge":[73],"0.$$":[74],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>x</mml:mi><mml:mo>\u2265</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:math>":[76],"As":[77],"main":[79],"result":[80],"derive":[82],"uniform":[83],"convergence":[84],"each":[86],"compact":[87],"subinterval":[88],"axis":[93],"all":[95],"continuous":[96],"functions":[97],"f":[98],"polynomial":[100],"growth.":[101]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
