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

Fractal and Fractional

Maja Andrić¹ 

[1] Faculty of Civil Engineering, Architecture and Geodesy, University of Split, Matice hrvatske 15, 21000 Split, Croatia;

关键词: fractional calculus;    Mittag-Leffler function;    convex function;    Hermite–Hadamard inequality;   

DOI  :  10.3390/fractalfract6060301

来源: DOAJ

【 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.

【 授权许可】

Unknown