The main motivation in this article is to prove a new and general integral identity and to
obtain new integral inequalities of various Hadamard types with the help of this identity …

It is a familiar fact that inequalities have become a very popular method using fractional
integrals, and that this method has been the driving force behind many studies in recent …

It is well known that the concept of convexity establishes strong relationship with integral
inequality for single-valued and interval-valued function. The single-valued function and …

The concepts of convex and non-convex functions play a key role in the study of
optimization. So, with the help of these ideas, some inequalities can also be established …

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 …

First, we establish the parametrized integral identity and its improved version via Atangana–
Baleanu (AB) fractional integrals. For the focus of this paper, we utilize the resulting …

Fractional integral inequality plays a significant role in pure and applied mathematics fields.
It aims to develop and extend various mathematical methods. Therefore, nowadays we need …

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 …

A specific type of convex functions is discussed. By examining this, we investigate new
Hermite–Hadamard type integral inequalities for the Riemann–Liouville fractional operators …

The prevalence of the use of integral inequalities has dramatically influenced the evolution
of mathematical analysis. The use of these useful tools leads to faster advances in the …