Results 11 to 20 of about 478,342 (163)
New norm equalities and inequalities for operator matrices
Journal of Inequalities and Applications, 2016 We prove new inequalities for general 2 × 2 $2\times2$ operator matrices. These inequalities, which are based on classical convexity inequalities, generalize earlier inequalities for sums of operators. Some other related results are also presented. Also,
Feras Ali Bani-Ahmad, Watheq Bani-Domi
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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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Best approximation of κ-random operator inequalities in matrix MB-algebras
Journal of Inequalities and Applications, 2021 We introduce a class of stochastic matrix control functions and apply them to stabilize pseudo stochastic κ-random operator inequalities in matrix MB-algebras.
Masoumeh Madadi +3 more
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Fractal and Fractional, 2022 Inequalities related to derivatives and integrals are generalized and extended via fractional order integral and derivative operators. The present paper aims to define an operator containing Mittag-Leffler function in its kernel that leads to deduce many
Zhiqiang Zhang +4 more
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Journal of Function Spaces, 2022 This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag-Leffler function in its kernel. We prove the boundedness of this newly defined operator.
Tingmei Gao +4 more
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Unified treatment of fractional integral inequalities via linear functionals [PDF]
, 2016 In the paper we prove several inequalities involving two isotonic linear functionals. We consider inequalities for functions with variable bounds, for Lipschitz and H\" older type functions etc.
Bombardelli, Mea +2 more
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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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Operator iteration on the Young inequality
Journal of Inequalities and Applications, 2016 In this paper, we employ iteration on operator version of the famous Young inequality and obtain more arithmetic-geometric mean inequalities and the reverse versions for positive operators.
Xianhe Zhao, Le Li, Hongliang Zuo
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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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