p-Convex Functions and Some of Their Properties

SEZER S., EKEN Z., TINAZTEPE G., ADİLOV G.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.42, sa.4, ss.443-459, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1080/01630563.2021.1884876
  • Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.443-459
  • Anahtar Kelimeler: Convex function, Convex set, p-convex function, p-convex set
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.