A Convexity Concept with Respect to a Pair of Functions
Bessem Samet
Abstract
In this paper, the concept of a convex function with respect to a pair of functions is introduced. Then some properties related to this notion are established. Furthermore, some fundamental inequalities from the theory of convex functions are extended to this new class of mappings.
Topics & Concepts
MathematicsConvexityConvex functionClass (philosophy)Regular polygonPure mathematicsFunction (biology)Convex analysisConvex optimizationGeometryComputer scienceArtificial intelligenceEconomicsBiologyFinancial economicsEvolutionary biologyMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsAnalytic and geometric function theory