q-Hermite-Hadamard Inequalities for Generalized Exponentially (s, m; eta)-Preinvex Functions

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dc.contributor.authorWang, Hua
dc.contributor.authorKalsoom, Humaira
dc.contributor.authorBudak, Huseyin
dc.contributor.authorIdrees, Muhammad
dc.date.accessioned2021-12-01T18:50:12Z
dc.date.available2021-12-01T18:50:12Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractIn this article, we introduce a new extension of classical convexity which is called generalized exponentially (s, m; eta)-preinvex functions. Also, it is seen that the new definition of generalized exponentially (s, m; eta)-preinvex functions describes different new classes as special cases. To prove our main results, we derive a new (m kappa 2)q-integral identity for the twice (m kappa 2)q-differentiable function. By using this identity, we show essential new results for Hermite-Hadamard-type inequalities for the (m kappa 2)q-integral by utilizing differentiable exponentially (s, m; eta)-preinvex functions. The results presented in this article are unification and generalization of the comparable results in the literature.en_US
dc.description.sponsorshipZhejiang Normal University [321004]en_US
dc.description.sponsorshipThis research was supported by Zhejiang Normal University, Jinhua, 321004, China.en_US
dc.identifier.doi10.1155/2021/5577340
dc.identifier.issn2314-4629
dc.identifier.issn2314-4785
dc.identifier.scopus2-s2.0-85105383406en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1155/2021/5577340
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10841
dc.identifier.volume2021en_US
dc.identifier.wosWOS:000664968400002en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherHindawi Ltden_US
dc.relation.ispartofJournal Of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectIntegral-Inequalitiesen_US
dc.subjectCoordinated Convexen_US
dc.subject(Pen_US
dc.titleq-Hermite-Hadamard Inequalities for Generalized Exponentially (s, m; eta)-Preinvex Functionsen_US
dc.typeArticleen_US

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