On a weighted Hermite-Hadamard inequality in operator variables with applications for weighted operator means

被引：0

作者：

Raissouli, Mustapha ^{[1
]}

Tarik, Lahcen ^{[2
]}

Chergui, Mohamed ^{[3
]}

机构：

[1] Moulay Ismail Univ, Fac Sci, Dept Math, Meknes, Morocco

[2] Ibn Tofail Univ, Sci Fac, LAGA Lab, Kenitra, Morocco

[3] CRMEF Rabat Sale Kenitra, EREAM Team, Dept Math, LaREAMI Lab, Kenitra, Morocco

来源：

FILOMAT | 2024年 / 38卷 / 17期

关键词：

Weighted Hermite-Hadamard inequalities; operator inequalities; operator means;

D O I：

10.2298/FIL2417971R

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates a new weighted version of the standard Hermite-Hadamard inequalities for operator convex functions and highlights certain related properties. As an application, new weighted operator means have been pointed out and some refinements to several operator mean inequalities have been discussed.

引用

页码：5971 / 5982

页数：12

共 9 条

[1] Hermite-Hadamard Type Inequalities for Functions Whose Derivatives are Operator Convex
Ghazanfari, A. G.
COMPLEX ANALYSIS AND OPERATOR THEORY, 2016, 10 (08) : 1695 - 1703
[2] Multiplicative inequalities for weighted arithmetic and harmonic operator means
Dragomir, Sever S.
ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2019, 11 (01) : 54 - 65
[3] Further Hermite-Hadamard Type Inequalities Involving Operator h-Convex Functions
Raissouli, Mustapha
Tarik, Lahcen
Chergui, Mohamed
El Wahbi, Bouazza
FILOMAT, 2022, 36 (18) : 6333 - 6346
[4] MULTIPLE-TERM REFINEMENTS FOR UPPER BOUND OF THE HERMITE-HADAMARD INEQUALITY AND APPLICATIONS
Phung, Tran dinh
Hue, Nguyen ngoc
Huy, Duong quoc
OPERATORS AND MATRICES, 2024, 18 (04): : 855 - 879
[5] Weighted multivariable operator means of positive definite operators
Palfia, Miklos
Petz, Denes
LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 463 : 134 - 153
[6] GENERALIZED REVERSE CAUCHY INEQUALITY AND APPLICATIONS TO OPERATOR MEANS
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Tsurumi, Yukihiro
Wada, Shuhei
JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (04): : 1029 - 1039
[7] Hermite–Hadamard Type Inequalities for Functions Whose Derivatives are Operator Convex
A. G. Ghazanfari
Complex Analysis and Operator Theory, 2016, 10 : 1695 - 1703
[8] Further inequalities involving the weighted geometric operator mean and the Heinz operator mean
Al-Subaihi, Ibrahim Ahmed
Raissouli, Mustapha
LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (19) : 4432 - 4454
[9] APPLICATIONS OF KATO'S INEQUALITY TO OPERATOR-VALUED INTEGRALS ON HILBERT SPACES
Dragomir, S. S.
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2013, 6 (04)

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