Ostrowski type inequalities for s-logarithmically convex functions in the second sense via fractional integrals

TL;DR

This paper develops new Ostrowski inequalities for s-logarithmically convex functions using fractional integrals, with applications to probability density functions.

Contribution

It introduces novel Ostrowski inequalities for s-logarithmically convex functions via fractional calculus, expanding the theoretical framework.

Findings

New Ostrowski inequalities for s-logarithmically convex functions

Applications to probability density functions demonstrated

Enhanced bounds using fractional integrals

Abstract

In this paper, we establish some new Ostrowski type inequalities for s-logarithmically convex functions by using Riemann-Liouville fractional integrals. Some applications of our results to P.D.F.'s are given.