Fractional Hadamard and Fejer-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, Fej\'{e}r-Hadamard inequality, Fractional integral operators, Mittag-Leffler functionAbstract
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 Fejer-Hadamard integral inequalities for generalized fractional inte-
gral 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 Fejer-Hadamard integral inequali-
ties for various well known fractional integral operators can be obtained.
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