Results 21 to 30 of about 349,949 (184)

A generalization of Minkowski’s inequality by Hahn integral operator

Journal of Taibah University for Science, 2018
In this paper, we use the Hahn integral operator for the description of new generalization of Minkowski’s inequality. The use of this integral operator definitely generalizes the classical Minkowski’s inequality.
Hasib Khan, Cemil Tunç, Abdulwasea Alkhazan, Barakat Ameen, Aziz Khan   +4 more
doaj   +1 more source

Yosida Complementarity Problem with Yosida Variational Inequality Problem and Yosida Proximal Operator Equation Involving XOR-Operation

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, Arvind Kumar Rajpoot, Imran Ali, Ching-Feng Wen   +3 more
doaj   +1 more source

$L^q$ 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.
openaire   +1 more source

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.
core   +3 more sources

The Second-Order Differential Equation System with the Controlled Process for Variational Inequality with Constraints

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
doaj   +1 more source

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
doaj   +1 more source

New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant

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
doaj   +1 more source

An operator inequality related to Jensen’s inequality [PDF]

Proceedings of the American Mathematical Society, 2001
Summary: For bounded non-negative operators \(A\) and \(B\), Furuta showed \[ 0\leq A \leq B \text{ implies } A^{\frac{r}{2}}B^sA^{\frac{r}{2}} \leq (A^{\frac{r}{2}}B^tA^{\frac{r}{2}})^{\frac{s+r}{t+r}}\quad (0\leq r, 0\leq s \leq t).
openaire   +2 more sources

Around the Furuta inequality—the operator inequalities (AB2A)¾≤ABA≤A3

International Journal of Mathematics and Mathematical Sciences, 1995
For positive operators A and B with A invertible it is shown that (AB2A)½≤A2 implies (AB2A)¾≤ABA. The inequalities in the title for 0≤B≤A are then derived as a conquence.
Derming Wang
doaj   +1 more source

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, Shigeru Furuichi, Zahra Heydarbeygi   +2 more
doaj   +1 more source