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.
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页数：15
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