Operator (p, η)-Convexity and Some Classical Inequalities

Operator (p, η)-Convexity and Some Classical Inequalities

In this paper, we will introduce the definition of operator p,η-convex functions, we will derive some basic properties for operator p,η-convex function, and also check the conditions under which operations’ function preserves the operator p,η-convexity. Furthermore, we develop famous Hermite–Hadamar...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of Mathematics 2020, Vol.2020 (2020), p.1-7
Hauptverfasser: Nazeer, Waqas, Shoukat, Naqash, Rao, Yongsheng, Saleem, Muhammad Shoaib, Zhang, Chuanjun
Format: Artikel
Sprache:eng
Schlagworte:
20th century
Analysis
Convex analysis
Convexity
Inequalities
Inequality
Mathematical functions
Mathematical optimization
Mathematics
Operators (mathematics)
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we will introduce the definition of operator p,η-convex functions, we will derive some basic properties for operator p,η-convex function, and also check the conditions under which operations’ function preserves the operator p,η-convexity. Furthermore, we develop famous Hermite–Hadamard, Jensen type, Schur type, and Fejér’s type inequalities for this generalized function.
ISSN:2314-4629
2314-4785
DOI:10.1155/2020/1235842