Some unified bounds for exponentially $tgs$-convex functions governed by conformable fractional operators
Hu Ge-JiLe, Saima Rashid, Muhammad Aslam Noor, Arshiya Suhail, Yu‐Ming Chu
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.
Topics & Concepts
Conformable matrixDifferentiable functionConvex functionMathematicsHadamard transformRegular polygonPure mathematicsFunction (biology)Applied mathematicsMathematical analysisPhysicsGeometryBiologyEvolutionary biologyQuantum mechanicsMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsNonlinear Differential Equations Analysis