On some inequalities for s-logarithmically convex functions in the second sense via fractional integrals

TL;DR

This paper develops new inequalities of Hadamard type for s-logarithmically convex functions in the second sense, utilizing fractional integrals and building on prior lemmas to extend mathematical bounds.

Contribution

It introduces novel Hadamard type inequalities specifically for s-logarithmically convex functions in the second sense using fractional integrals, expanding existing mathematical frameworks.

Findings

Established new Hadamard type inequalities for s-logarithmically convex functions

Utilized fractional integrals to derive these inequalities

Extended previous results using Lemma 1 from Sarikaya et al.

Abstract

In this paper, we establish some new Hadamard type inequalities for s-logarithmically convex functions in the second sense via fractional integrals by using Lemma 1 which has been proved by Sarikaya et al. in the paper [3].