P-Convex Functions and Some of Their Properties. (21st May 2021)

• Record Type: Journal Article
• Authors: Sezer, Sevda; Eken, Zeynep; Tınaztepe, Gültekin; Adilov, Gabil
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 4(2021)
• Page Start: 443
• Page End: 459
• Publication Date: 2021-05-21
• Subjects: Convex function -- Convex set -- p-convex function -- p-convex set; 26A51 -- 26B25; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1884876
• Languages: English
• ISSNs: 0163-0563

Abstract

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.