Study of inequalities for unified integral operators of generalized convex functions
Ghulam Farid, Kahkashan Mahreen, Yu‐Ming Chu
Abstract
The aim of this paper is to study unified integral operators for generalized convex functions namely \((\alpha,h-m)\)-convex functions. We obtained upper as well as lower bounds of these integral operators in diverse forms. The results simultaneously hold for many kinds of well known fractional integral operators and for various kinds of convex functions.
Topics & Concepts
MathematicsConvex functionRegular polygonOperator theoryConvex analysisPure mathematicsConvex combinationMathematical analysisConvex optimizationGeometryMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsAnalytic and geometric function theory