Jensen-Mercer Type Inequalities for Operator h-Convex Functions

被引：3

作者：

Abbasi, Mostafa ^{[1
]}

Morassaei, Ali ^{[1
]}

Mirzapour, Farzollah ^{[1
]}

机构：

[1] Univ Zanjan, Fac Sci, Dept Math, Univ Blvd, Zanjan 4537138791, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2022年 / 48卷 / 05期

关键词：

h-Convex function; Jensen-Mercer inequality; Operator inequality; Hilbert space;

D O I：

10.1007/s41980-021-00652-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we state some characterizations of h-convex function defined on a convex set in a linear space. By doing so, we extend the Jensen-Mercer inequality for h-convex function. We present the concept of operator h-convex functions and give some operator versions of Jensen and Jensen-Mercer type inequalities for some classes of operator h-convex functions and unital positive linear maps. Finally, we introduce the complementary inequality of Jensen's inequality for h-convex functions.

引用

页码：2441 / 2462

页数：22

共 50 条

[1] Jensen–Mercer Type Inequalities for Operator h-Convex Functions
Mostafa Abbasi
Ali Morassaei
Farzollah Mirzapour
Bulletin of the Iranian Mathematical Society, 2022, 48 : 2441 - 2462
[2] Fractional version of the Jensen-Mercer and Hermite-Jensen-Mercer type inequalities for strongly h-convex function
Ma, Fangfang
AIMS MATHEMATICS, 2022, 7 (01): : 784 - 803
[3] Jensen-Mercer Operator Inequalities Involving Superquadratic Functions
Anjidani, E.
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (02)
[4] Generalized Fractal Jensen-Mercer and Hermite-Mercer type inequalities via h-convex functions involving Mittag-Leffler kernel
Xu, Peng
Butt, Saad Ihsan
Yousaf, Saba
Aslam, Adnan
Zia, Tariq Javed
ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (06) : 4837 - 4846
[5] Generalized Jensen and Jensen-Mercer inequalities for strongly convex functions with applications
Bradanovic, Slavica Ivelic
Lovricevic, Neda
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01):
[6] Jensen-Mercer and Hermite-Hadamard-Mercer Type Inequalities for GA-h-Convex Functions and Its Subclasses with Applications
Fahad, Asfand
Ayesha
Wang, Yuanheng
Butt, Saad Ihsaan
MATHEMATICS, 2023, 11 (02)
[7] Jensen-Mercer inequality for GA-convex functions and some related inequalities
Iscan, Imdat
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
[8] Generalized fractal Jensen and Jensen-Mercer inequalities for harmonic convex function with applications
Butt, Saad Ihsan
Agarwal, Praveen
Yousaf, Saba
Guirao, Juan L. G.
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
[9] Hermite-Jensen-Mercer-Type Inequalities via Caputo-Fabrizio Fractional Integral for h-Convex Function
Vivas-Cortez, Miguel
Saleem, Muhammad Shoaib
Sajid, Sana
Zahoor, Muhammad Sajid
Kashuri, Artion
FRACTAL AND FRACTIONAL, 2021, 5 (04)
[10] REFINEMENTS OF THE OPERATOR JENSEN-MERCER INEQUALITY
Kian, Mohsen
Moslehian, Mohammad Sal
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2013, 26 : 742 - 753

← 1 2 3 4 5 →