On some integral inequalities for $(h,m)$-convex functions in a generalized framework

In this paper, we present some new integral inequalities of Hermite-Hadamard type. To obtain these results, general convex functions of various type are considered such as $(h,m)$-convex functions. The main results extend some previously known inequalities by taking fractional integral operators.

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Bibliographic Details
Published inKarpats'kì matematinì publìkacìï Vol. 15; no. 1; pp. 137 - 149
Main Authors Kórus, P., Nápoles Valdés, J.E.
Format Journal Article
LanguageEnglish
Published Vasyl Stefanyk Precarpathian National University 01.01.2023
Subjects
(h,m)$-convex function
generalized integral operator
hermite-hadamard inequality
integral inequality
modified $(h,m)$-convex function
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Summary:In this paper, we present some new integral inequalities of Hermite-Hadamard type. To obtain these results, general convex functions of various type are considered such as $(h,m)$-convex functions. The main results extend some previously known inequalities by taking fractional integral operators.
ISSN:2075-9827
2313-0210
DOI:10.15330/cmp.15.1.137-149