Some new inequalities for generalized convex functions pertaining generalized fractional integral operators and their applications

Abstract

In this paper, authors establish a new identity for a differentiable function using generic integral operators. By applying it, some new integral inequalities of trapezium, Ostrowski and Simpson type are obtained. Moreover, several special cases have been studied in detail. Finally, many useful applications have been found.

On new generalized inequalities with some parameters for coordinated convex functions via generalized fractional integrals

“…In the literature, there are several papers on inequalities for generalized fractional integrals. For some of them, please refer to previous studies 33,42‐49 …”

“…For some of them, please refer to previous studies. 33,[42][43][44][45][46][47][48][49] Inspired by this definition, Turkay et al 11 give the following definitions:…”