Fractional Hadamard and Fej´er-Hadamard inequalities for exponentially m-convex function
DOI:
https://doi.org/10.24193/subbmath.2021.4.03Keywords:
Convex functions, exponentially m-convex functions, Hadamard inequality, Fejer-Hadamard inequality, fractional integral operators, Mittag-Leffler function.Abstract
Fractional integral operators play a vital role in the advancement of mathematical inequalities. The aim of this paper is to present the Hadamard and the Fej´er-Hadamard inequalities for generalized fractional integral operators containing Mittag-Leffler function. Exponentially m-convexity is utilized to establish these inequalities. By fixing parameters involved in the Mittag-Leffler function Hadamard and the Fej´er-Hadamard inequalities for various well known fractional integral operators can be obtained.
Mathematics Subject Classification (2010): 26B25, 26A33, 26A51, 33E12.
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