The aim of our study is to establish, for convex functions on an interval, a midpoint version of
the fractional HHF type inequality. The corresponding fractional integral has a symmetric …

There have been many different definitions of fractional calculus presented in the literature,
especially in recent years. These definitions can be classified into groups with similar …

This paper deals with generalizations and refinements of Fejér's inequality with some new
applications. We introduce a real map** M f ω (t) and obtain some its functional properties …

A review of the results on the fractional Fejér-type inequalities, associated with different
families of convexities and different kinds of fractional integrals, is presented. In the …

The extension of interval‐valued and real‐valued functions known as fuzzy interval‐valued
function (FIVF) has made substantial contributions to the theory of interval analysis. In this …

Some fractional weighted trapezoid type inequalities for preinvex functions Page 1 Int. J.
Nonlinear Anal. Appl. 13 (2022) 1, 3567-3587 ISSN: 2008-6822 (electronic) http://dx.doi.org/10.22075/ijnaa.2021.23653.2574 …

Fractional derivative and integral operators are often employed to present new
generalizations of mathematical inequalities. The introduction of new fractional operators …

The main goal of this paper is to develop the significance of generalized fractional integral
inequalities via convex functions. We obtain the new version of fractional integral …

In this paper, we have established the Hermite–Hadamard–Fejér inequality for fractional
integrals involving preinvex functions. The results presented here provide new extensions of …

In this paper, we present some new Hermite-Hadamard-Fejér type inequality for fractional
integrals for (η1, η2)-convex functions. Our results give some new error bounds for the …