Some complementary inequalities to Jensen’s operator inequality

被引：0
|
作者：
Jadranka Mićić
Hamid Reza Moradi
Shigeru Furuichi
机构：
[1] University of Zagreb,Faculty of Mechanical Engineering and Naval Architecture
[2] Islamic Azad University,Young Researchers and Elite Club, Mashhad Branch
[3] Nihon University,Department of Information Science, College of Humanities and Sciences
来源：
Journal of Inequalities and Applications | / 2018卷
关键词：
self-adjoint operator; positive linear mapping; convex function; converse of Jensen’s operator inequality; Mond-Pečarić method; 47A63; 47A64; 47B15; 46L05;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we study some complementary inequalities to Jensen’s inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions. New improved complementary inequalities are presented by using an improvement of the Mond-Pečarić method. These results are applied to obtain some inequalities with quasi-arithmetic means.
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