{"id":"https://openalex.org/W7127117252","doi":"https://doi.org/10.1007/s40314-026-03633-4","title":"Fractional $$\\alpha $$-Bernstein-Kantorovich operators of order $$\\beta $$: A new construction and applications in signal processing","display_name":"Fractional $$\\alpha $$-Bernstein-Kantorovich operators of order $$\\beta $$: A new construction and applications in signal processing","publication_year":2026,"publication_date":"2026-02-03","ids":{"openalex":"https://openalex.org/W7127117252","doi":"https://doi.org/10.1007/s40314-026-03633-4"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-026-03633-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-026-03633-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5124811808","display_name":"Jaspreet Kaur","orcid":null},"institutions":[{"id":"https://openalex.org/I82571370","display_name":"GLA University","ror":"https://ror.org/05fnxgv12","country_code":"IN","type":"education","lineage":["https://openalex.org/I82571370"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Jaspreet Kaur","raw_affiliation_strings":["Department of Mathematics, GLA University, Mathura, 281406, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, GLA University, Mathura, 281406, India","institution_ids":["https://openalex.org/I82571370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124852970","display_name":"Meenu Goyal","orcid":null},"institutions":[{"id":"https://openalex.org/I162030827","display_name":"Thapar Institute of Engineering & Technology","ror":"https://ror.org/00wdq3744","country_code":"IN","type":"education","lineage":["https://openalex.org/I162030827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Meenu Goyal","raw_affiliation_strings":["Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala, 147004, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala, 147004, India","institution_ids":["https://openalex.org/I162030827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050489155","display_name":"Khursheed J\u200e. \u200eAnsari","orcid":"https://orcid.org/0000-0003-4564-6211"},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Khursheed J. Ansari","raw_affiliation_strings":["Department of Mathematics, College of Science, King Khalid University, Abha, 61413, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-4564-6211","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, King Khalid University, Abha, 61413, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077679488","display_name":"Maher Mejai","orcid":"https://orcid.org/0000-0003-2708-3865"},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Maher Mejai","raw_affiliation_strings":["Department of Mathematics, College of Science, King Khalid University, Abha, 61413, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, King Khalid University, Abha, 61413, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5124811808"],"corresponding_institution_ids":["https://openalex.org/I82571370"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.21655901,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"6","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":0.9894000291824341,"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":0.9894000291824341,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.002099999925121665,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.000699999975040555,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/signal-processing","display_name":"Signal processing","score":0.6147000193595886},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.609499990940094},{"id":"https://openalex.org/keywords/bivariate-analysis","display_name":"Bivariate analysis","score":0.5983999967575073},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5965999960899353},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5486999750137329},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.5005999803543091},{"id":"https://openalex.org/keywords/operator-theory","display_name":"Operator theory","score":0.49630001187324524},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.44609999656677246},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.37880000472068787}],"concepts":[{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.6147000193595886},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.609499990940094},{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.5983999967575073},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5965999960899353},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5486999750137329},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5047000050544739},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.5005999803543091},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.49630001187324524},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4828000068664551},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46399998664855957},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.44609999656677246},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44190001487731934},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.37880000472068787},{"id":"https://openalex.org/C191832335","wikidata":"https://www.wikidata.org/wiki/Q4262191","display_name":"Fourier integral operator","level":3,"score":0.3767000138759613},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.37059998512268066},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.36800000071525574},{"id":"https://openalex.org/C35958075","wikidata":"https://www.wikidata.org/wiki/Q1425077","display_name":"Spectral theorem","level":3,"score":0.36230000853538513},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32580000162124634},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.32030001282691956},{"id":"https://openalex.org/C501101116","wikidata":"https://www.wikidata.org/wiki/Q18378116","display_name":"Multidimensional signal processing","level":4,"score":0.3005000054836273},{"id":"https://openalex.org/C129683796","wikidata":"https://www.wikidata.org/wiki/Q430450","display_name":"Microlocal analysis","level":4,"score":0.299699991941452},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.28870001435279846},{"id":"https://openalex.org/C3019018024","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear operators","level":3,"score":0.28790000081062317},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2870999872684479},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.2815999984741211},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.27390000224113464},{"id":"https://openalex.org/C110342517","wikidata":"https://www.wikidata.org/wiki/Q1129902","display_name":"Constant coefficients","level":2,"score":0.2687999904155731},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.2651999890804291},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.26010000705718994}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-026-03633-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-026-03633-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7862360144","display_name":null,"funder_award_id":"RGP2/319/46","funder_id":"https://openalex.org/F33954902","funder_display_name":"Deanship of Scientific Research, King Khalid University"}],"funders":[{"id":"https://openalex.org/F33954902","display_name":"Deanship of Scientific Research, King Khalid University","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W33514339","https://openalex.org/W593228614","https://openalex.org/W1989203263","https://openalex.org/W2571446777","https://openalex.org/W2621191365","https://openalex.org/W2761609349","https://openalex.org/W2901702033","https://openalex.org/W2901893751","https://openalex.org/W2964043147","https://openalex.org/W2989828291","https://openalex.org/W3193528794","https://openalex.org/W4225645767","https://openalex.org/W4226128629","https://openalex.org/W4226137093","https://openalex.org/W4226345050","https://openalex.org/W4280547066","https://openalex.org/W4366591147","https://openalex.org/W4388232492","https://openalex.org/W4388280738","https://openalex.org/W4393313010","https://openalex.org/W4395008169","https://openalex.org/W7128159831"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-02-07T06:11:34.122080","created_date":"2026-02-03T00:00:00"}
