p -Convex Functions and Some of Their Properties
Sevda Sezer, Zeynep Eken, Gültekin Tınaztepe, Gabil Adi̇lov
Abstract
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.
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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.
Key concepts: Mathematics, Proper convex function, Convex analysis, Subderivative, Convex function, Regular polygon, Convex set, Convex combination