Fractional Integral Inequalities of Hermite-Hadamard Type for (h,g;m)-Convex Functions with Extended Mittag-Leffler Function

被引：3

作者：

Andric, Maja ^{[1
]}

机构：

[1] Univ Split, Fac Civil Engn Architecture & Geodesy, Matice hrvatske 15, Split 21000, Croatia

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 06期

关键词：

fractional calculus; Mittag-Leffler function; convex function; Hermite-Hadamard inequality;

D O I：

10.3390/fractalfract6060301

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Several fractional integral inequalities of the Hermite-Hadamard type are presented for the class of (h,g;m)-convex functions. Applied fractional integral operators contain extended generalized Mittag-Leffler functions as their kernel, thus enabling new fractional integral inequalities that extend and generalize the known results. As an application, the upper bounds of fractional integral operators for (h,g;m)-convex functions are given.

引用

页数：15

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