Some (p, q)-Integral Inequalities of Hermite-Hadamard Inequalities for (p, q)-Differentiable Convex Functions

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dc.authoridNonlaopon, Kamsing/0000-0002-7469-5402
dc.authoridNtouyas, Sotiris/0000-0002-7695-2118
dc.authoridBudak, Hüseyin/0000-0001-8843-955X
dc.authoridTariboon, Jessada/0000-0001-8185-3539
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022
dc.authorwosidNonlaopon, Kamsing/AAD-4363-2020
dc.contributor.authorLuangboon, Waewta
dc.contributor.authorNonlaopon, Kamsing
dc.contributor.authorTariboon, Jessada
dc.contributor.authorNtouyas, Sotiris K.
dc.contributor.authorBudak, Hüseyin
dc.date.accessioned2023-07-26T11:53:49Z
dc.date.available2023-07-26T11:53:49Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we establish a new (p,q)(b)-integral identity involving the first-order (p,q)(b)-derivative. Then, we use this result to prove some new (p,q)(b)-integral inequalities related to Hermite-Hadamard inequalities for (p,q)(b)-differentiable convex functions. Furthermore, our main results are used to study some special cases of various integral inequalities. The newly presented results are proven to be generalizations of some integral inequalities of already published results. Finally, some examples are given to illustrate the investigated results.en_US
dc.description.sponsorshipNational Science, Research and Innovation Fund (NSRF), Thailanden_US
dc.description.sponsorshipThis research received funding support from the National Science, Research and Innovation Fund (NSRF), Thailand.en_US
dc.identifier.doi10.3390/math10050826
dc.identifier.issn2227-7390
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85126334884en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/math10050826
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12613
dc.identifier.volume10en_US
dc.identifier.wosWOS:000773824600001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBudak, Hüseyin
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofMathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectHermite-Hadamard Inequality; Convex Function; (P.Q)-Differentiable Function; (P.Q)-Integral Inequalities; (P.Q)-Calculusen_US
dc.subjectMidpoint-Type Inequalities; Quantum; Simpsonen_US
dc.titleSome (p, q)-Integral Inequalities of Hermite-Hadamard Inequalities for (p, q)-Differentiable Convex Functionsen_US
dc.typeArticleen_US

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