Results 41 to 50 of about 485,847 (357)
Time-Scale Integral Inequalities of Copson with Steklov Operator in High Dimension
Journal of Mathematics, 2022 The paper derives some new time-scale (TS) dynamic inequalities for multiple integrals. The obtained inequalities are special cases of Copson integral using Steklov operator in (TS) version with high dimension.
Wedad Albalawi
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Functional version for Furuta parametric relative operator entropy
Journal of Inequalities and Applications, 2018 Functional version for the so-called Furuta parametric relative operator entropy is here investigated. Some related functional inequalities are also discussed.
Mustapha Raïssouli, Shigeru Furuichi
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Cubo, 2023 For a continuous and positive function $w\left( \lambda \right) ,$ $\lambda >0$ and $\mu $ a positive measure on $(0,\infty )$ we consider the following integral transform % \begin{equation*} \mathcal{D}\left( w,\mu \right) \left( T\right) :=\int_{0}^{
S. S. Dragomir
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An analytical proof of Hardy-like inequalities related to the Dirac operator [PDF]
, 2003 We prove some sharp Hardy type inequalities related to the Dirac operator by elementary, direct methods. Some of these inequalities have been obtained previously using spectral information about the Dirac-Coulomb operator.
Dolbeault, J. +3 more
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Intersection theory and the Horn inequalities for invariant subspaces [PDF]
, 2015 We provide a direct, intersection theoretic, argument that the Jordan models of an operator of class C_{0}, of its restriction to an invariant subspace, and of its compression to the orthogonal complement, satisfy a multiplicative form of the Horn ...
Bercovici, Hari, Li, Wing Suet
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On the Bohr inequality of operators
Journal of Mathematical Analysis and Applications, 2007 AbstractThis paper is focused on the operator inequalities of the Bohr type. We will give a new and transparent proof for the operator Bohr inequality through an absolute value operator identity, show some related operator inequalities by means of 2×2 (block) operator matrices, and finally we will present a generalization of the operator Bohr ...
Fuzhen Zhang, Fuzhen Zhang
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A Grüss type operator inequality [PDF]
Annals of Functional Analysis, 2017 In [P. Renaud, "A matrix formulation of Gr\"uss 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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Generalized proportional fractional integral functional bounds in Minkowski’s inequalities
Advances in Difference Equations, 2021 In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ.
Tariq A. Aljaaidi +4 more
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Refined Heinz operator inequalities and norm inequalities [PDF]
Operators and Matrices, 2021 14 ...
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Operator inequalities via the triangle inequality [PDF]
arXiv, 2022 This article improves the triangle inequality for complex numbers, using the Hermite-Hadamard inequality for convex functions. Then, applications of the obtained refinement are presented to include some operator inequalities. The operator applications include numerical radius inequalities and operator mean inequalities.
arxiv