Results 21 to 30 of about 350,578 (278)
Some operator inequalities via convexity [PDF]
Linear and Multilinear Algebra, 2021 In this article, we employ a standard convex argument to obtain new and refined inequalities related to the matrix mean of two accretive matrices, the numerical radius and the Tsallis relative operator entropy.
Hamid Reza Moradi +2 more
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Modulus of convexity for operator convex functions [PDF]
, 2014 Given an operator convex function $f(x)$, we obtain an operator-valued lower bound for $cf(x) + (1-c)f(y) - f(cx + (1-c)y)$, $c \in [0,1]$. The lower bound is expressed in terms of the matrix Bregman divergence.
Kim, Isaac H.
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Journal of Mathematics, 2021 Due to the importance of Yosida approximation operator, we generalized the variational inequality problem and its equivalent problems by using Yosida approximation operator. The aim of this work is to introduce and study a Yosida complementarity problem,
Rais Ahmad +3 more
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A natural derivative on [0,n] and a binomial Poincar\'e inequality [PDF]
, 2011 We consider probability measures supported on a finite discrete interval $[0,n]$. We introduce a new finitedifference operator $\nabla_n$, defined as a linear combination of left and right finite differences. We show that this operator $\nabla_n$ plays a
Hillion, Erwan +2 more
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$L^q$ Inequalities and Operator Preserving Inequalities
Analysis in Theory and Applications, 2014 Summary: Let \(\mathbb{P}_n\) be the class of polynomials of degree at most \(n\). \textit{N. A. Rather} and \textit{M. A. Shah} [J. Math. Anal. Appl. 399, No. 1, 422--432 (2013; Zbl 1259.30006)] proved that if \(P\in \mathbb{P}_n\) and \(P(z)\neq 0\) in \(|z|0\) and \(0 \leq ...
Bidkham, M., Ahmadi, S.
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Strichartz inequality for orthonormal functions [PDF]
, 2013 We prove a Strichartz inequality for a system of orthonormal functions, with an optimal behavior of the constant in the limit of a large number of functions.
Frank, Rupert L. +3 more
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Journal of Inequalities and Applications, 2017 The purpose of this paper is to give a survey of the progress, advantages and limitations of various operator inequalities involving improved Young’s and its reverse inequalities related to the Kittaneh-Manasrah inequality.
Jie Zhang, Junliang Wu
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Complexity, 2021 In this paper, the variational inequality with constraints can be viewed as an optimization problem. Using Lagrange function and projection operator, the equivalent operator equations for the variational inequality with constraints under the certain ...
Li Wang, Xingxu Chen, Juhe Sun
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On further refinements for Young inequalities
Open Mathematics, 2018 In this paper sharp results on operator Young’s inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young’s inequality.
Furuichi Shigeru, Moradi Hamid Reza
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New Refinement of the Operator Kantorovich Inequality
Mathematics, 2019 We focus on the improvement of operator Kantorovich type inequalities. Among the consequences, we improve the main result of the paper [H.R. Moradi, I.H. Gümüş, Z.
Hamid Reza Moradi +2 more
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