Functional version for Furuta parametric relative operator entropy

被引：0

作者：

Mustapha Raïssouli

Shigeru Furuichi

机构：

[1] Taibah University,Department of Mathematics, Science Faculty

[2] Moulay Ismail University,Department of Mathematics, Science Faculty

[3] Nihon University,Department of Information Science, College of Humanities and Sciences

来源：

Journal of Inequalities and Applications | / 2018卷

关键词：

Operator inequalities; Functional inequalities; Operator entropies; Convex analysis; 46N10; 46A20; 47A63; 47N10; 39B62; 52A41;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Functional version for the so-called Furuta parametric relative operator entropy is here investigated. Some related functional inequalities are also discussed. The theoretical results obtained by our functional approach immediately imply those of operator versions in a simple, fast, and nice way.

引用

共 18 条

[1] Fujii J.I.(1989)Relative operator entropy in noncommutative information theory Math. Jpn. 34 341-348
[2] Kamei E.(2011)Inequalities for Tsallis relative entropy and generalized skew information Linear Multilinear Algebra 59 1143-1158
[3] Furuichi S.(2018)Inequalities for relative operator entropies and operator means Acta Math. Vietnam. 381 219-235
[4] Furuichi S.(2004)Parameteric extensions of Shannon inequality and its reverse one in Hilbert space operators Linear Algebra Appl. 6 289-300
[5] Minculete N.(2015)Shannon type inequalities of a relative operator entropy including Tsallis and Rényi ones Ann. Funct. Anal. 246 205-224
[6] Furuta T.(1980)Means of positive linear operators Math. Ann. 51 555-563
[7] Isa H.(2009)Tsallis relative entropy for convex functionals Int. J. Pure Appl. Math. 17 231-239
[8] Ito M.(2011)Relative functional entropy in convex analysis J. Appl. Anal. 6 204-211
[9] Kamei E.(2015)Functional versions for some operator entropy inequalities Ann. Funct. Anal. 30 79-107
[10] Tohyama H.(2006)Arithmetico-geometrico-harmonic functional mean in convex analysis Ann. Sci. Math. Qué. undefined undefined-undefined

← 1 2 →