2021Numerical Functional Analysis and OptimizationRequires access

p -Convex Functions and Some of Their Properties

Sevda Sezer, Zeynep Eken, Gültekin Tınaztepe, Gabil Adi̇lov

Open publisher page 39 citations

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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What this paper is about

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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OpenAlex reports 39 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Mathematics, Proper convex function, Convex analysis, Subderivative, Convex function, Regular polygon, Convex set, Convex combination

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