<i>p</i>-Convex Functions and Some of Their Properties
Sevda Sezer, Zeynep Eken, Gültekin Tınaztepe, Gabil Adi̇lov
Abstract
In this paper, the concept of p-convex function based on the definition of p-convex sets is given. Then fundamental characterizations and some operational properties of p-convex functions are presented. Furthermore, the relations between p-convex functions for different p values are obtained.
Topics & Concepts
MathematicsProper convex functionConvex analysisSubderivativeConvex functionRegular polygonConvex setConvex combinationPseudoconvex functionPure mathematicsFunction (biology)Logarithmically convex functionCombinatoricsConvex optimizationGeometryBiologyEvolutionary biologyMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsOptimization and Variational Analysis