Operator geodesically convex functions and their applications

被引：0

作者：

Kaleibary, Venus ^{[1
]}

Jabbarzadeh, Mohammad Reza ^{[1
]}

Furuichi, Shigeru ^{[2
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Tabriz 5166615648, Iran

[2] Nihon Univ, Coll Humanities & Sci, Dept Informat Sci, Tokyo, Japan

来源：

LINEAR & MULTILINEAR ALGEBRA | 2023年 / 71卷 / 08期

基金：

美国国家科学基金会;

关键词：

Operator convex function; convex-log function; geodesically convex function; eigenvalue inequality; Aczel inequality; operator mean; INEQUALITY; REVERSES;

D O I：

10.1080/03081087.2022.2061398

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce operator geodesically convex and operator convex-log functions and characterize some properties of them. Then we apply these classes of functions to present several operator Azcel and Minkowski-type inequalities extending some known results. The concavity counterparts are also considered.

引用

页码：1280 / 1294

页数：15

共 20 条

[1] ACZEL J., 1956, Uspehi Mat. Nauk (N.S.), V11, P3
[2] ANDO T, 1994, LINEAR ALGEBRA APPL, V198, P113
[3] Operator log-convex functions and operator means
Ando, Tsuyoshi
Hiai, Fumio
[J]. MATHEMATISCHE ANNALEN, 2011, 350 (03) : 611 - 630
[4] Bhatia R., 1997, Graduate Texts in Mathematics, V169
[5] Jensen and Minkowski inequalities for operator means and anti-norms
Bourin, Jean-Christophe
Hiai, Fumio
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 456 : 22 - 53
[6] SCHWARZ INEQUALITY FOR POSITIVE LINEAR MAPS ON C-STAR-ALGEBRAS
CHOI, MD
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 1974, 18 (04) : 565 - 574
[7] A GENERALIZATION OF ACZEL,J. INEQUALITY IN INNER-PRODUCT SPACES
DRAGOMIR, SS
[J]. ACTA MATHEMATICA HUNGARICA, 1994, 65 (02) : 141 - 148
[8] ON THE OPERATOR ACZEL INEQUALITY AND ITS REVERSE
Furuichi, Shigeru
Jabbarzadeh, Mohammad Reza
Kaleibary, Venus
[J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (01): : 249 - 259
[9] Furuta T., 2005, MONOGRAPHS INEQUALIT, V1
[10] ON REVERSES OF THE GOLDEN-THOMPSON TYPE INEQUALITIES
Ghaemi, Mohammad Bagher
Kaleibary, Venus
Furuichi, Shigeru
[J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (02): : 315 - 323

← 1 2 →