Zobrazeno 1 - 10
of 351
pro vyhledávání: '"Furuichi, Shigeru"'
Publikováno v:
Acta Sci. Math. (Szeged) (2023)
M. Lin defined a binary operation for two positive semi-definite matrices in studying certain determinantal inequalities that arise from diffusion tensor imaging. This operation enjoys some interesting properties similar to the operator geometric mea
Externí odkaz:
http://arxiv.org/abs/2402.06637
Autor:
Furuichi, Shigeru, Hansen, Frank
A lower bound of the reduced relative entropy is given by the use of a variational expression. The reduced Tsallis relative entropy is defined and some results are given. In particular, the convexity of the reduced Tsallis relative entropy is obtaine
Externí odkaz:
http://arxiv.org/abs/2312.03778
Publikováno v:
Carpathian Journal of Mathematics, 2024 Jan 01. 40(1), 121-137.
Externí odkaz:
https://www.jstor.org/stable/27259300
Autor:
Furuichi, Shigeru
The ordering between Wigner--Yanase--Dyson function and logarithmic mean is known. Also bounds for logarithmic mean are known. In this paper, we give two reverse inequalities for Wigner--Yanase--Dyson function and logarithmic mean. We also compare th
Externí odkaz:
http://arxiv.org/abs/2301.02599
This paper aims to characterize the function appearing in the weighted Hermite-Hadamard inequality. We provide improved inequalities for the weighted means as applications of the obtained results. Modifications of the weighted Hermite-Hadamard inequa
Externí odkaz:
http://arxiv.org/abs/2212.14796
To better understand the algebra $\mathcal{M}_n$ of all $n\times n$ complex matrices, we explore the class of accretive matrices. This class has received renowned attention in recent years due to its role in complementing those results known for posi
Externí odkaz:
http://arxiv.org/abs/2210.08678
This article improves the triangle inequality for complex numbers, using the Hermite-Hadamard inequality for convex functions. Then, applications of the obtained refinement are presented to include some operator inequalities. The operator application
Externí odkaz:
http://arxiv.org/abs/2204.07622
An upper bound of the logarithmic mean is given by a convex combination of the arithmetic mean and the geometric mean. In addition, a lower bound of the logarithmic mean is given by a geometric bridge of the arithmetic mean and the geometric mean. In
Externí odkaz:
http://arxiv.org/abs/2203.01134
A considerable amount of literature in the theory of inequality is devoted to the study of Jensen's and Young's inequality. This article presents a number of new inequalities involving the log-convex functions and the geometrically convex functions.
Externí odkaz:
http://arxiv.org/abs/2202.04299
The main goal of this article is to present new inequalities for the spectral geometric mean $A\natural_t B$ of two positive definite operators $A, B$ on a Hilbert space. The obtained results complement many known inequalities for the geometric mean
Externí odkaz:
http://arxiv.org/abs/2111.03256