Results 1 to 10 of about 478,342 (163)
Norm Inequalities in Operator Ideals [PDF]
arXiv, 2008 In this paper we introduce a new technique for proving norm inequalities in operator ideals with an unitarily invariant norm. Among the well known inequalities which can be proved with this technique are the L\"owner-Heinz inequality, inequalities relating various operator means and the Corach-Porta-Recht inequality.
Larotonda, Gabriel
arxiv +5 more sources
Estimates for Tsallis relative operator entropy [PDF]
arXiv, 2017 We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given. In addition, operator inequalities for normalized positive linear map with Tsallis relative operator entropy are given.
Furuichi, Shigeru +2 more
arxiv +4 more sources
Improved Young and Heinz inequalities with the Kantorovich constant [PDF]
arXiv, 2015 In this article, we study the further refinements and reverses of the Young and Heinz inequalities with the Kantorovich constant. These modified inequalities are used to establish corresponding operator inequalities on Hilbert space and Hilbert-Schmidt norm inequalities.
Liao, Wenshi, Wu, Junliang
arxiv +2 more sources
Some generalized fractional integral inequalities with nonsingular function as a kernel
AIMS Mathematics, 2021 Integral inequalities play a key role in applied and theoretical mathematics. The purpose of inequalities is to develop mathematical techniques in analysis.
Shahid Mubeen +5 more
doaj +1 more source
Generalized Refinements of Reversed AM-GM Operator Inequalities for Positive Linear Maps
Axioms, 2023 We shall present some more generalized and further refinements of reversed AM-GM operator inequalities for positive linear maps due to Xue’s and Ali’s publications.
Yonghui Ren
doaj +1 more source
On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator
Axioms, 2021 In this paper, we deal with the Caputo–Fabrizio fractional integral operator with a nonsingular kernel and establish some new integral inequalities for the Chebyshev functional in the case of synchronous function by employing the fractional integral ...
Vaijanath L. Chinchane +3 more
doaj +1 more source
Annales Mathematicae Silesianae, 2021 For a continuous and positive function ω (λ); λ> 0 and μ a positive measure on [0; ∞) we consider the following 𝒟-logarithmic integral transform𝒟ℒog(w,μ)(T):=∫0∞w(λ)1n(λ+Tλ)dμ(λ),\mathcal{D}\mathcal{L}og\left( {w,\mu } \right)\left( T \right): = \int_0 ...
Dragomir Silvestru Sever
doaj +1 more source
AIMS Mathematics, 2021 In this paper, we propose a new framework of weighted generalized proportional fractional integral operator with respect to a monotone function Ψ, we develop novel modifications of the aforesaid operator.
Shuang-Shuang Zhou +5 more
doaj +1 more source
On Strongly Convex Functions via Caputo–Fabrizio-Type Fractional Integral and Some Applications
Journal of Mathematics, 2021 The theory of convex functions plays an important role in the study of optimization problems. The fractional calculus has been found the best to model physical and engineering processes.
Qi Li +4 more
doaj +1 more source
A note on operator inequalities of Tsallis relative operator entropy [PDF]
, 2005 Tsallis relative operator entropy was defined as a parametric extension of relative operator entropy and the generalized Shannon inequalities were shown in the previous paper.
Furuichi, Shigeru +2 more
core +4 more sources