Hermite-Hadamard type inequalities for operator geometrically convex functions

Autor:	Taghavi, Ali, Darvish, Vahid, Nazari, Haji Mohammad, Dragomir, Sever S.
Rok vydání:	2015
Předmět:	Mathematics - Functional Analysis 47A63 15A60 47B05 47B10 26D15
Druh dokumentu:	Working Paper
Popis:	In this paper, we introduce the concept of operator geometrically convex functions for positive linear operators and prove some Hermite-Hadamard type inequalities for these functions. As applications, we obtain trace inequalities for operators which give some refinements of previous results. Comment: Accepted for publishing in Monatshefte fur Mathematik
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1508.03109 Zobrazit plný text záznamu View this record from Arxiv