[LIVRE][B] Advances in mathematical inequalities

S Furuichi - 2020 - books.google.com
Mathematical inequalities are essential tools in mathematics, natural science and
engineering. This book gives an overview on recent advances. Some generalizations and …

[PDF][PDF] Some inequalities for relative operator entropy

SS Dragomir - Preprint RGMIA Res. Rep. Coll, 2015 - rgmia.org
SOME INEQUALITIES FOR RELATIVE OPERATOR ENTROPY 1. Introduction Kamei and Fujii
[6], [7] defined the relative operator entropy S Page 1 SOME INEQUALITIES FOR RELATIVE …

Improved operator inequalities of some relative operative entropies

I Nikoufar - Positivity, 2020 - Springer
In this paper, we investigate the lower and upper bound of the relative operator (α, β)(α, β)-
entropy. We refine and improve the lower and upper bound of the relative operator entropy …

The converse of the Loewner–Heinz inequality via perspective

I Nikoufar, M Shamohammadi - Linear and Multilinear Algebra, 2018 - Taylor & Francis
The Loewner–Heinz inequality is not only the most essential one in operator theory, but also
a fundamental tool for treating operator inequalities. The aim of this paper is to investigate …

[PDF][PDF] Further inequalities for relative operator entropy

SS Dragomir - Preprint RGMIA Res. Rep. Coll, 2015 - rgmia.org
In this paper, that is a continuation of recent work [SS Dragomir, Some inequalities for
relative operator entropy, Preprint RGMIA Res. Rep. Coll. 18 (2015), Art. 145. http://rgmia …

Sharp continuity bounds for entropy and conditional entropy

ZH Chen, ZH Ma, I Nikoufar, S Fei - arxiv preprint arxiv:1701.02398, 2017 - arxiv.org
The Renyi entropy plays an essential role in quantum information theory. We study the
continuity estimation of the Renyi entropy. An inequality relating the Renyi entropy difference …

Inequalities for relative operator entropies and operator means

S Furuichi, N Minculete - Acta Mathematica Vietnamica, 2018 - Springer
The main purpose of this article is to study estimates for the Tsallis relative operator entropy,
by using the Hermite-Hadamard inequality. We obtain alternative bounds for the Tsallis …

[PDF][PDF] Bounds of generalized relative operator entropies

I Nikoufar, M Alinejad - Math. Inequal. Appl, 2017 - files.ele-math.com
Bounds of generalized relative operator entropies Page 1 M athematical I nequalities & A
pplications Volume 20, Number 4 (2017), 1067–1078 doi:10.7153/mia-2017-20-68 BOUNDS …

[PDF][PDF] Bounds of some relative operator entropies in a general form

I Nikoufar - Filomat, 2018 - doiserbia.nb.rs
In this paper, we determine the bounds of the generalized relative operator entropy in
general. In particular, we identify the bounds of the parametric extension of the Shannon …

Convexity of parameter extensions of some relative operator entropies with a perspective approach

I Nikoufar - Glasgow Mathematical Journal, 2020 - cambridge.org
In this paper, we introduce two notions of a relative operator (α, β)-entropy and a Tsallis
relative operator (α, β)-entropy as two parameter extensions of the relative operator entropy …