Fractional version of the Jensen-Mercer and Hermite-Jensen-Mercer type inequalities for strongly h-convex function

In this paper we find further versions of generalized Hadamard type fractional integral inequality for $ k $-fractional integrals. For this purpose we utilize the definition of $ h $-convex function. The presented results hold simultaneously for variant types of convexities and fractional integrals.

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Bibliographic Details
Published inAIMS mathematics Vol. 7; no. 1; pp. 784 - 803
Main Author Ma, Fangfang
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
convex function
fractional integrals
hermite-hadamard inequality
jensen-mercer inequality
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Summary:In this paper we find further versions of generalized Hadamard type fractional integral inequality for $ k $-fractional integrals. For this purpose we utilize the definition of $ h $-convex function. The presented results hold simultaneously for variant types of convexities and fractional integrals.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022047