Some unified bounds for exponentially $tgs$-convex functions governed by conformable fractional operators

Abstract

In the article, we introduce the concept of the exponentially $tgs$-convex function and discover two new conformable fractional integral identities concerning the first-order differentiable convex mappings. By using these identities, we establish several new right-sided Hermite-Hadamard type inequalities for the exponentially $tgs$-convex functions via conformable fractional integrals. Our outcomes for conformable fractional integral operators are also applied to some special means.

Keywords

• integral inequality
• exponentially $tgs$-convex function
• conformable fractional integral operator
• hermite-hadamard inequality