{"id":"https://openalex.org/W4409499747","doi":"https://doi.org/10.22199/issn.0717-6279-2550","title":"Ostrowski type fractional integral inequalities for s-Godunova-Levin functions via k-fractional integrals","display_name":"Ostrowski type fractional integral inequalities for s-Godunova-Levin functions via k-fractional integrals","publication_year":2025,"publication_date":"2025-04-16","ids":{"openalex":"https://openalex.org/W4409499747","doi":"https://doi.org/10.22199/issn.0717-6279-2550"},"language":"en","primary_location":{"id":"doi:10.22199/issn.0717-6279-2550","doi":"https://doi.org/10.22199/issn.0717-6279-2550","is_oa":true,"landing_page_url":"https://doi.org/10.22199/issn.0717-6279-2550","pdf_url":"https://www.revistaproyecciones.cl/index.php/proyecciones/article/download/2550/2151","source":{"id":"https://openalex.org/S4210193274","display_name":"Proyecciones (Antofagasta)","issn_l":"0716-0917","issn":["0716-0917","0717-6279"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","latindex","norway-1","scielo"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proyecciones (Antofagasta)","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.revistaproyecciones.cl/index.php/proyecciones/article/download/2550/2151","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012166007","display_name":"Ghulam Farid","orcid":"https://orcid.org/0000-0002-4103-7745","observed_orcids":["https://orcid.org/0000-0002-4103-7745"]},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Ghulam Farid","raw_affiliation_strings":["COMSATS Institute of Information Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"COMSATS Institute of Information Technology","institution_ids":["https://openalex.org/I16076960"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021772174","display_name":"Atiq Ur Rehman","orcid":"https://orcid.org/0000-0002-7368-0700","observed_orcids":["https://orcid.org/0000-0002-7368-0700"]},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Atiq Ur Rehman","raw_affiliation_strings":["COMSATS Institute of Information Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"COMSATS Institute of Information Technology","institution_ids":["https://openalex.org/I16076960"]}]},{"author_position":"last","author":{"id":null,"display_name":"Muhammad Usman","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Usman","raw_affiliation_strings":["COMSATS Institute of Information Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"COMSATS Institute of Information Technology","institution_ids":["https://openalex.org/I16076960"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I16076960"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08309726,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"36","issue":"4","first_page":"753","last_page":"767"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":1.0,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.0,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.0,"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/ostrowski-type-inequalities","display_name":"Ostrowski type inequalities","score":0.9470000267028809},{"id":"https://openalex.org/keywords/fractional-integral-inequalities","display_name":"fractional integral inequalities","score":0.9940000176429749},{"id":"https://openalex.org/keywords/p-function","display_name":"P-function","score":0.796999990940094},{"id":"https://openalex.org/keywords/k-fractional-integrals","display_name":"k-fractional integrals","score":0.9390000104904175}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6538386940956116},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6156487464904785},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6009401082992554},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4750547409057617},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4027458131313324},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.04283815622329712},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.22199/issn.0717-6279-2550","doi":"https://doi.org/10.22199/issn.0717-6279-2550","is_oa":true,"landing_page_url":"https://doi.org/10.22199/issn.0717-6279-2550","pdf_url":"https://www.revistaproyecciones.cl/index.php/proyecciones/article/download/2550/2151","source":{"id":"https://openalex.org/S4210193274","display_name":"Proyecciones (Antofagasta)","issn_l":"0716-0917","issn":["0716-0917","0717-6279"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","latindex","norway-1","scielo"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proyecciones (Antofagasta)","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.22199/issn.0717-6279-2550","doi":"https://doi.org/10.22199/issn.0717-6279-2550","is_oa":true,"landing_page_url":"https://doi.org/10.22199/issn.0717-6279-2550","pdf_url":"https://www.revistaproyecciones.cl/index.php/proyecciones/article/download/2550/2151","source":{"id":"https://openalex.org/S4210193274","display_name":"Proyecciones (Antofagasta)","issn_l":"0716-0917","issn":["0716-0917","0717-6279"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","latindex","norway-1","scielo"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proyecciones (Antofagasta)","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320326275","display_name":"Higher Education Commision, Pakistan","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409499747.pdf","grobid_xml":"https://content.openalex.org/works/W4409499747.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W6605506883"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,34],"give":[4],"some":[5,22],"fractional":[6,18,26,31],"integral":[7,27],"inequalities":[8,28],"of":[9],"Ostrowski":[10,24],"type":[11,25],"for":[12,29,38],"s-Godunova-Levin":[13],"functions":[14,42],"via":[15],"Riemann-Liouville":[16,30],"k-":[17],"integrals.":[19],"We":[20],"deduce":[21],"known":[23],"integrals":[32],"and":[33,40],"also":[35],"prove":[36],"results":[37],"p-functions":[39],"Godunova-Levin":[41],"by":[43],"taking":[44],"s=0":[45],"ans":[46],"s=1":[47],"respectively.":[48]},"counts_by_year":[],"updated_date":"2026-09-29T14:09:16.559479","created_date":"2025-10-10T00:00:00"}
