Jensen inequalities for P-class functions

被引：0
|
作者：
J. Rooin
S. Habibzadeh
M. S. Moslehian
机构：
[1] Institute for Advanced Studies in Basic Sciences (IASBS),Department of Mathematics
[2] Tusi Mathematical Research Group (TMRG),Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures (CEAAS)
[3] Ferdowsi University of Mashhad,undefined
来源：
Periodica Mathematica Hungarica | 2018年 / 77卷
关键词：
-class function; Jensen inequality; Norm inequality; Operator inequality; Spectral measure; 47A30; 47A60; 47A63; 26A51;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we first give some characterizations for P-class functions. Then giving a Hermite–Hadamard type inequality for P-class functions, we prove equivalency of some significant metrics in normed linear spaces. We also obtain an operator version of the Jensen inequality for P-class functions. Introducing operator (mid) P-class functions, we present some characterizations for such functions.
引用
收藏
页码：261 / 273
页数：12
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