Some New Hermite-Hadamard and Related Inequalities for Convex Functions via (p,q)-Integral

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dc.authoridVivas-Cortez, Miguel/0000-0002-1567-0264
dc.authoridAgarwal, Praveen/0000-0001-7556-8942
dc.authoridBudak, Huseyin/0000-0001-8843-955X
dc.authorwosidVivas-Cortez, Miguel/AAC-9992-2019
dc.authorwosidAgarwal, Praveen/I-7327-2012
dc.contributor.authorVivas-Cortez, Miguel
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Huseyin
dc.contributor.authorKalsoom, Humaira
dc.contributor.authorAgarwal, Praveen
dc.date.accessioned2021-12-01T18:50:39Z
dc.date.available2021-12-01T18:50:39Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractIn this investigation, for convex functions, some new (p,q)-Hermite-Hadamard-type inequalities using the notions of (p,q)(pi 2) derivative and (p,q)(pi 2) integral are obtained. Furthermore, for (p,q)(pi 2)-differentiable convex functions, some new (p,q) estimates for midpoint and trapezoidal-type inequalities using the notions of (p,q)(pi 2) integral are offered. It is also shown that the newly proved results for p=1 and q -> 1(-) can be converted into some existing results. Finally, we discuss how the special means can be used to address newly discovered inequalities.en_US
dc.description.sponsorshipNational Natural Sciences Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11971241]en_US
dc.description.sponsorshipThis work is partially supported by National Natural Sciences Foundation of China (Grant No. 11971241).en_US
dc.identifier.doi10.3390/e23070828
dc.identifier.issn1099-4300
dc.identifier.issue7en_US
dc.identifier.pmid34209714en_US
dc.identifier.scopus2-s2.0-85109392528en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/e23070828
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10907
dc.identifier.volume23en_US
dc.identifier.wosWOS:000676461400001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakPubMeden_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofEntropyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectquantum calculusen_US
dc.subjectpost-quantum calculusen_US
dc.subject(p, q) estimates for midpoint and trapezoidal type inequalitiesen_US
dc.subjectMidpoint Type Inequalitiesen_US
dc.subjectDifferentiable Mappingsen_US
dc.subjectReal Numbersen_US
dc.subjectQuantumen_US
dc.titleSome New Hermite-Hadamard and Related Inequalities for Convex Functions via (p,q)-Integralen_US
dc.typeArticleen_US

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