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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
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A Grüss type operator inequality [PDF]

Annals of Functional Analysis, 2017
In [P. Renaud, "A matrix formulation of Grüss inequality", Linear Algebra Appl. 335 (2001), 95--100] it was proved an operator inequality involving the usual trace functional. In this article, we give a refinement of such result and we answer positively the Renaud's open problem.
Bottazzi, T., Conde, C.
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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
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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
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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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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

Further Improved Weighted Arithmetic-Geometric Operator Mean Inequalities

Mathematics, 2019
The main purpose of this paper is to present some weighted arithmetic-geometric operator mean inequalities. These inequalities are refinements and generalizations of the corresponding results.
Jianming Xue, Xingkai Hu
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Correlation Inequalities for Schrödinger Operators [PDF]

Mathematical Physics, Analysis and Geometry, 2020
This paper analyzes Schödinger operators from viewpoint of correlation inequalities. We construct Griffiths inequalities for the ground state expectations by applying operator-theoretic correlation inequalities. As an example of such an application, we analyze the momentum distribution, i.e., the Fourier transform of the ground state density.
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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 [PDF]

International Journal of Mathematics and Mathematical Sciences, 1983
An inequality is proved in abstract separable Hilbert space H where A and B are bounded self‐adjoint positive operators defined in H such that R(A) = R(B) and R(A) is closed.
openaire   +3 more sources