Some inequalities for operator (p, h)-convex functions

Let p be a positive number and h a function on satisfying for any . A non-negative continuous function f on is said to be operator (p, h)-convex if holds for all positive semidefinite matrices A, B of order n with spectra in K, and for any . In this paper, we study properties of operator (p, h)-conv...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Linear & multilinear algebra Jg. 66; H. 3; S. 580 - 592
Hauptverfasser: Dinh, Trung Hoa, Vo, Khue Thi Bich
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Abingdon Taylor & Francis 04.03.2018
Taylor & Francis Ltd
Schlagworte:
Continuity (mathematics)
Convex analysis
h)-convex functions
Inequalities
Mathematical analysis
Matrix methods
Monotone functions
Operator (p
operator Hansen-Pedersen type inequality
operator Jensen type inequality
Operators (mathematics)
ISSN:0308-1087, 1563-5139
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Let p be a positive number and h a function on satisfying for any . A non-negative continuous function f on is said to be operator (p, h)-convex if holds for all positive semidefinite matrices A, B of order n with spectra in K, and for any . In this paper, we study properties of operator (p, h)-convex functions and prove the Jensen, Hansen-Pedersen type inequalities for them. We also give some equivalent conditions for a function to become an operator (p, h)-convex. In applications, we obtain Choi-Davis-Jensen type inequality for operator (p, h)-convex functions and a relation between operator (p, h)-convex functions with operator monotone functions.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2017.1307914