On some fractional integral inequalities for generalized strongly modified $h$-convex functions
Peiyu Yan, Qi Li, Yu Ming Chu, Sana Mukhtar, Shumaila Waheed
Abstract
Convex functions play an important role in many areas of mathematics. They are especially important in the study of optimization problems where they are distinguished by a number of convenient properties. Many generalizations of convex functions exists in literature. The main aim of the article is to develop fractional integral inequalities for generalized strongly modified h-convex functions. Based on obtained fractional type integral inequalities we give some applications to the means. Our results are extension and generalization of many existing results.
Topics & Concepts
GeneralizationMathematicsConvex functionFractional calculusRegular polygonExtension (predicate logic)InequalityApplied mathematicsType (biology)Pure mathematicsCalculus (dental)Mathematical analysisComputer scienceGeometryMedicineProgramming languageBiologyDentistryEcologyMathematical Inequalities and ApplicationsOptimization and Variational Analysis