A study of new quantum Montgomery identities and general Ostrowski like inequalities

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dc.authoridJaved, Muhammad Zakria/0000-0001-5212-6252en_US
dc.authoridRO, JONGSUK/0000-0003-4429-9393en_US
dc.authoridAwan, Muhammad Uzair/0000-0002-1019-9485en_US
dc.authorwosidJaved, Muhammad Zakria/KXR-4163-2024en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.authorwosidRO, JONGSUK/AAN-8519-2020en_US
dc.contributor.authorAwan, Muhammad Uzair
dc.contributor.authorJaved, Muhammad Zakria
dc.contributor.authorBudak, Huseyin
dc.contributor.authorHamed, Y. S.
dc.contributor.authorRo, Jong-Suk
dc.date.accessioned2024-08-23T16:04:57Z
dc.date.available2024-08-23T16:04:57Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe main objective of this paper is to analyze the Montgomery identities and Ostrowski like inequalities, within the framework of quantum calculus. The study utilizes w 3 q and w 4 q differentiable functions to establish two new Montgomery identities, which are essential for the development of our main results which are new quantum estimates of general Ostrowski type inequality. The study involves numerous techniques, including q -identities, H & ouml;lder-like inequalities, and the Jensen-Mercer inequality for convex mappings, to derive the main outcomes of the paper. Additionally, the study presents special cases, numerical validation, and graphical illustrations to support the main results.en_US
dc.description.sponsorshipNational Research Foundation of Korea (NRF) - Korea government (MSIT) [NRF-2022R1A2C2004874]; Korea Institute of Energy Technology Evaluation and Planning (KETEP); Ministry of Trade, Industry and Energy (MOTIE) of the Republic of Korea [20214000000280]en_US
dc.description.sponsorshipThe research work of Jong-Suk Ro is supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. NRF-2022R1A2C2004874) and by the Korea Institute of Energy Technology Evaluation and Planning (KETEP) and the Ministry of Trade, Industry and Energy (MOTIE) of the Republic of Korea (No. 20214000000280). The authors are also thankful to the editor and anonymous reviewers for their valuable comments and suggestions.en_US
dc.identifier.doi10.1016/j.asej.2024.102683
dc.identifier.issn2090-4479
dc.identifier.issn2090-4495
dc.identifier.issue5en_US
dc.identifier.urihttps://doi.org/10.1016/j.asej.2024.102683
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14419
dc.identifier.volume15en_US
dc.identifier.wosWOS:001223379500001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofAin Shams Engineering Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMontgomeryen_US
dc.subjectIdentityen_US
dc.subjectMerceren_US
dc.subjectConvexen_US
dc.subjectFunctionen_US
dc.subjectH & ouml;lder's inequalityen_US
dc.subjectMercer Type Inequalitiesen_US
dc.titleA study of new quantum Montgomery identities and general Ostrowski like inequalitiesen_US
dc.typeArticleen_US

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