A new version of (p, q)-Hermite-Hadamard's midpoint and trapezoidal inequalities via special operators in (p, q)-calculus

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dc.contributor.authorSitthiwirattham, Thanin
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorEtemad, Sina
dc.contributor.authorRezapour, Shahram
dc.date.accessioned2023-07-26T11:54:01Z
dc.date.available2023-07-26T11:54:01Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we conduct a research on a new version of the (p, q)-Hermite-Hadamard inequality for convex functions in the framework of postquantum calculus. Moreover, we derive several estimates for (p, q)-midpoint and (p, q)-trapezoidal inequalities for special (p, q)-differentiable functions by using the notions of left and right (p, q)-derivatives. Our newly obtained inequalities are extensions of some existing inequalities in other studies. Lastly, we consider some mathematical examples for some (p, q)-functions to confirm the correctness of newly established results.en_US
dc.description.sponsorshipAzarbaijan Shahid Madani University; NSRF via the Program Management Unit for Human Resources & lnstitutional Development, Research and lnnovation [B05F640163]; National Natural Science Foundation of China [11971241]en_US
dc.description.sponsorshipThe fourth and fifth authors were supported by Azarbaijan Shahid Madani University. The authors would like to thank the reviewers for their constructive and useful comments. This research has received funding support from the NSRF via the Program Management Unit for Human Resources & lnstitutional Development, Research and lnnovation [grant number B05F640163]. This work is partially supported by the National Natural Science Foundation of China (Grant No. 11971241).en_US
dc.identifier.doi10.1186/s13661-022-01665-3
dc.identifier.issn1687-2770
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85141630503en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1186/s13661-022-01665-3
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12696
dc.identifier.volume2022en_US
dc.identifier.wosWOS:000885078900001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBudak, Hüseyin
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofBoundary Value Problemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectQ-Calculus; (P,Q)-Hermite-Hadamard Inequality; (P,Q)-Calculus; Convex Functionsen_US
dc.subjectDifferentiable Mappings; Integral-Inequalities; Real Numbers; Convexen_US
dc.titleA new version of (p, q)-Hermite-Hadamard's midpoint and trapezoidal inequalities via special operators in (p, q)-calculusen_US
dc.typeArticleen_US

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