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Norm-based measures of inequality: A property-focused evaluation. [PDF]
PLoS ONENorm-based inequality measures are developed within the unequally distributed/relative unequally distributed (UD/RUD) framework by applying the L1 norm and the squared L2 norm to the cumulative distribution and quantile function (CDQF), the quantile ...
Muhammad Hamza +3 more
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Mathematics, 2021 In this paper, we establish new generalizations and results in shift-invariant subspaces of mixed-norm Lebesgue spaces Lp→(Rd). We obtain a mixed-norm Hölder inequality, a mixed-norm Minkowski inequality, a mixed-norm convolution inequality, a ...
Junjian Zhao, Wei-Shih Du, Yasong Chen
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ON ONE INEQUALITY OF DIFFERENT METRICS FOR TRIGONOMETRIC POLYNOMIALS
Ural Mathematical Journal, 2022 We study the sharp inequality between the uniform norm and \(L^p(0,\pi/2)\)-norm of polynomials in the system \(\mathscr{C}=\{\cos (2k+1)x\}_{k=0}^\infty\) of cosines with odd harmonics.
Vitalii V. Arestov, Marina V. Deikalova
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Norm Inequalities Equivalent to Heinz Inequality [PDF]
Proceedings of the American Mathematical Society, 1993 We investigate several norm inequalities equivalent to the Heinz inequality and discuss the equivalence relations among these norm inequalities. Here we shall show an elementary and simplified proof to the famous Heinz inequality.
Fujii, Jun Ichi +3 more
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INEQUALITIES FOR THE NORM AND NUMERICAL RADIUS FOR HILBERT 𝐶 * -MODULE OPERATORS
Проблемы анализа, 2020 In this paper, we introduce some inequalities between the operator norm and the numerical radius of adjointable operators on Hilbert 𝐶*-module spaces.
Mohsen Shah Hosseini, Baharak Moosavi
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A Survey of Some Norm Inequalities [PDF]
Complex Analysis and Operator Theory, 2021 28 pages, some updates ...
Fritz Gesztesy +2 more
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New proofs on two recent inequalities for unitarily invariant norms
Journal of Inequalities and Applications, 2020 In this short note, we provide alternative proofs for several recent results due to Audenaert (Oper. Matrices 9:475–479, 2015) and Zou (J. Math. Inequal. 10:1119–1122, 2016; Linear Algebra Appl. 552:154–162, 2019).
Junjian Yang, Linzhang Lu
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A note on hypercircle inequality for data error with l 1 $l^{1}$ norm
Journal of Inequalities and Applications, 2022 In our previous work, we have extended the hypercircle inequality (HI) to situations where the data error is known. Furthermore, the most recent result is applied to the problem of learning a function value in the reproducing kernel Hilbert space ...
Kannika Khompungson, Kamonrat Nammanee
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Norm Inequalities Related to Clarkson Inequalities
The Electronic Journal of Linear Algebra, 2018 Let $A$ and $B$ be $n\times n$ matrices.
Alrimawi, Fadi +2 more
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New versions of refinements and reverses of Young-type inequalities with the Kantorovich constant
Special Matrices, 2023 Recently, some Young-type inequalities have been promoted. The purpose of this article is to give further refinements and reverses to them with Kantorovich constants.
Rashid Mohammad H. M., Bani-Ahmad Feras
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