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Certain Hermite-Hadamard Inequalities for Logarithmically Convex Functions with Applications

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dc.contributor.author Jain, Shilpi
dc.contributor.author Mehrez, Khaled
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Agarwal, Ravi P.
dc.date.accessioned 2020-01-15T14:02:08Z
dc.date.available 2020-01-15T14:02:08Z
dc.date.issued 2019-02
dc.identifier.citation Jain, Shilpi...et al. (2019). "Certain Hermite-Hadamard Inequalities for Logarithmically Convex Functions with Applications", Mathematics, Vol. 7, No. 2. tr_TR
dc.identifier.issn 2227-7390
dc.identifier.uri http://hdl.handle.net/20.500.12416/2351
dc.description.abstract In this paper, we discuss various estimates to the right-hand (resp. left-hand) side of the Hermite-Hadamard inequality for functions whose absolute values of the second (resp. first) derivatives to positive real powers are log-convex. As an application, we derive certain inequalities involving the q-digamma and q-polygamma functions, respectively. As a consequence, new inequalities for the q-analogue of the harmonic numbers in terms of the q-polygamma functions are derived. Moreover, several inequalities for special means are also considered. tr_TR
dc.language.iso eng tr_TR
dc.publisher MDPI tr_TR
dc.relation.isversionof 10.3390/math7020163 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Hermite-Hadamard Inequality tr_TR
dc.subject Log-Convex Function tr_TR
dc.subject Q-Digamma tr_TR
dc.subject Q-Polygamma Function tr_TR
dc.subject Harmonic Number tr_TR
dc.subject Special Means tr_TR
dc.title Certain Hermite-Hadamard Inequalities for Logarithmically Convex Functions with Applications tr_TR
dc.type article tr_TR
dc.relation.journal Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 7 tr_TR
dc.identifier.issue 2 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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