Unified inequalities of the q-Trapezium-Jensen-Mercer type that incorporate majorization theory with applications

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dc.authoridAwan, Muhammad Uzair/0000-0002-1019-9485en_US
dc.authoridCesarano, Clemente/0000-0002-1694-7907en_US
dc.authoridBin-Mohsin, Bandar/0000-0002-2160-4159en_US
dc.authoridJaved, Muhammad Zakria/0000-0001-5212-6252;en_US
dc.authorscopusid53879358800en_US
dc.authorscopusid57221781447en_US
dc.authorscopusid56018634500en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid55582438900en_US
dc.authorscopusid56175139700en_US
dc.authorscopusid7102422868en_US
dc.authorwosidAwan, Muhammad Uzair/O-2382-2015en_US
dc.authorwosidCesarano, Clemente/ADI-2059-2022en_US
dc.authorwosidKhan, Awais/JHT-9826-2023en_US
dc.authorwosidBin-Mohsin, Bandar/C-7273-2018en_US
dc.authorwosidJaved, Muhammad Zakria/KXR-4163-2024en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorBin-Mohsin, Bandar
dc.contributor.authorJaved, Muhammad Zakria
dc.contributor.authorAwan, Muhammad Uzair
dc.contributor.authorBudak, Huseyin
dc.contributor.authorKhan, Awais Gul
dc.contributor.authorCesarano, Clemente
dc.contributor.authorNoor, Muhammad Aslam
dc.date.accessioned2024-08-23T16:03:30Z
dc.date.available2024-08-23T16:03:30Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe objective of this paper is to explore novel unified continuous and discrete versions of the Trapezium-Jensen-Mercer (TJM) inequality, incorporating the concept of convex mapping within the framework of q-calculus, and utilizing majorized tuples as a tool. To accomplish this goal, we establish two fundamental lemmas that utilize the & sigma;1q and & sigma;2 q differentiability of mappings, which are critical in obtaining new left and right side estimations of the midpoint q-TJM inequality in conjunction with convex mappings. Our findings are significant in a way that they unify and improve upon existing results. We provide evidence of the validity and comprehensibility of our outcomes by presenting various applications to means, numerical examples, and graphical illustrations.en_US
dc.description.sponsorshipKing Saud University, Riyadh, Saudi Arabia [RSP2023R158]; [8081/Punjab/NRPU/RD/HEC/2017]en_US
dc.description.sponsorshipAcknowledgments The authors are thankful to the editor and anonymous reviewers for their valuable comments and suggestions. This research is supported by Researchers Supporting Project number (RSP2023R158) , King Saud University, Riyadh, Saudi Arabia. Muhammad Uzair Awan is thankful to HEC Pakistan for 8081/Punjab/NRPU/R & D/HEC/2017.en_US
dc.identifier.doi10.3934/math.20231062
dc.identifier.endpage20870en_US
dc.identifier.issn2473-6988
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-85163814412en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage20841en_US
dc.identifier.urihttps://doi.org/10.3934/math.20231062
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13784
dc.identifier.volume8en_US
dc.identifier.wosWOS:001024451300001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.ispartofAims Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectconvexen_US
dc.subjectquantumen_US
dc.subjecttrapeziumen_US
dc.subjectJensen -Merceren_US
dc.subjectdi fferentiableen_US
dc.subjectmajorizationen_US
dc.subjectRainas Functionen_US
dc.subjectConvexen_US
dc.subjectMidpointen_US
dc.titleUnified inequalities of the q-Trapezium-Jensen-Mercer type that incorporate majorization theory with applicationsen_US
dc.typeArticleen_US

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