Some results on Simpson type conformable fractional inequalities

TL;DR

This paper introduces a new Simpson type conformable fractional integral equality for convex functions, deriving inequalities and applying them to special means and functions like Bessel and q-digamma.

Contribution

It presents a novel Simpson type conformable fractional integral equality and extends it to inequalities involving special functions and means.

Findings

Derived new Simpson type conformable fractional inequalities.

Applied inequalities to special means and functions.

Enhanced understanding of fractional inequalities in convex analysis.

Abstract

In this paper we established a new Simpson type conformable fractional integral equality for convex functions. Based on this identity, some results related to Simpson-like type inequalities are obtained. These results are then applied to some special means of real numbers and two special functions, modified Bessel function and q-digamma function, respectively.