Operator Jensen's Type Inequalities for Convex Functions

被引：1

作者：

Hosseini, M. Shah ^{[1
]}

Moradi, H. R. ^{[2
]}

Moosavi, B. ^{[3
]}

机构：

[1] Islamic Azad Univ, Shahr e Qods Branch, Dept Math, Math, Tehran, Iran

[2] Islamic Azad Univ, Mashhad Branch, Young Researchers & Elite Club, Math, Tehran, Iran

[3] Islamic Azad Univ, Safadasht Branch, Dept Math, Math, Tehran, Iran

来源：

JOURNAL OF MATHEMATICAL EXTENSION | 2021年 / 15卷 / 02期

关键词：

Operator order; Jensen's inequality; convex functions; self-adjoint operators; positive operators;

D O I：

10.30495/JME.2021.1280

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is mainly devoted to studying operator Jensen inequality. More precisely, a new generalization of Jensen inequality and its reverse version for convex (not necessary operator convex) functions have been proved. Several special cases are discussed as well.

引用

页数：16

共 14 条

[1]

Bhatia R, 2007, PRINC SER APPL MATH, P1

[2]

Choi M-D., 1980, JOUR OPERATOR THEORY, V4, P271

[3]

Dragomir S. S, COMMUNICATION

[4]

Furuichi S, 2019, REP MATH PHYS, V84, P201, DOI 10.1016/S0034-4877(19)30083-7

[5]

Hansen F, 2007, MATH SCAND, V100, P61

[6] CYCLIC REFINEMENTS OF THE DIFFERENT VERSIONS OF OPERATOR JENSEN INEQUALITY [J].

Horvath, Laszlo ;

Khan, Khuram Ali ;

Pecaric, Josip .

ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2016, 31 :125-133

[7] On the Jensen's inequality and its variants [J].

Jaafari, Elahe ;

Asgari, Mohammad Sadegh ;

Hosseini, Mohsen Shah ;

Moosavi, Baharak .

AIMS MATHEMATICS, 2020, 5 (02) :1177-1185

[8] CHOI-DAVIS-JENSEN'S INEQUALITY WITHOUT CONVEXITY [J].

Micic, Jadranka ;

Moradi, Hamid Reza ;

Furuichi, Shigeru .

JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (04) :1075-1085

[9] Some complementary inequalities to Jensen's operator inequality [J].

Micic, Jadranka ;

Moradi, Hamid Reza ;

Furuichi, Shigeru .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,

[10] Some Mappings Related to Levinson's Inequality for Hilbert Space Operators [J].

Micic, Jadranka ;

Pecaric, Josip .

FILOMAT, 2017, 31 (07) :1995-2009

← 1 2 →