Results 11 to 20 of about 1,484 (254)

Matrix rearrangement inequalities revisited [PDF]

Mathematical Inequalities & Applications, 2021
Let $||X||_p=\text{Tr}[(X^\ast X)^{p/2}]^{1/p}$ denote the $p$-Schatten norm of a matrix $X\in M_{n\times n}(\mathbb{C})$, and $ (X)$ the singular values with $\uparrow$ $\downarrow$ indicating its increasing or decreasing rearrangements. We wish to examine inequalities between $||A+B||_p^p+||A-B||_p^p$, $|| _\downarrow(A)+ _\downarrow(B)||_p^p ...
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Integral inequalities with an extended Poisson kernel and the existence of the extremals

Advanced Nonlinear Studies, 2023
In this article, we first apply the method of combining the interpolation theorem and weak-type estimate developed in Chen et al. to derive the Hardy-Littlewood-Sobolev inequality with an extended Poisson kernel.
Tao Chunxia, Wang Yike
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Reversed Stein–Weiss Inequalities with Poisson-Type Kernel and Qualitative Analysis of Extremal Functions

Advanced Nonlinear Studies, 2021
Through conformal map, isoperimetric inequalities are equivalent to the Hardy–Littlewood–Sobolev (HLS) inequalities involved with the Poisson-type kernel on the upper half space.
Tao Chunxia
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Relationship between stochastic inequalities and some classical mathematical inequalities

Journal of Inequalities and Applications, 1997
The notions of association and dependence of random variables, rearrangements, and heterogeneity via majorization ordering have proven to be most useful for deriving stochastic inequalities.
Tong YL
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Self-improving properties of weighted Gehring classes with applications to partial differential equations

Advances in Difference Equations, 2021
In this paper, we prove that the self-improving property of the weighted Gehring class G λ p $G_{\lambda }^{p}$ with a weight λ holds in the non-homogeneous spaces.
S. H. Saker, J. Alzabut, D. O’Regan, R. P. Agarwal   +3 more
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Changes of Personal Network Composition and Inter-Group Ties from 1987 to 2005 in Hungary [PDF]

Belvedere Meridionale, 2014
The following paper presents the changes and stability of assortative mixing, and inter-group ties in Hungary from 1987 to 2005. The demographic categories under investigation are age, sex, and education.
VARGA V., Attila
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A necessary and sufficient condition for the inequality of generalized weighted means

Journal of Inequalities and Applications, 2016
We present in this paper a necessary and sufficient condition to establish the inequality between generalized weighted means which share the same sequence of numbers but differ in the weights.
Mateu Sbert, Jordi Poch
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Rearrangement inequality on a circular domain [PDF]

, 1973
R. Friedberg, J. M. Luttinger
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Weighted Fourier Inequalities via Rearrangements [PDF]

Journal of Fourier Analysis and Applications, 2017
The method of using rearrangements to give sufficient conditions for Fourier inequalities between weighted Lebesgue spaces is revisited. New results in the case q < p are established and a comparison between two known sufficient conditions is completed. In addition, examples are given to show that a simple weight condition that is sufficient for the
Rastegari, Javad, Sinnamon, Gord
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Some results on the eigenvalue problem for a fractional elliptic equation

Boundary Value Problems, 2019
This paper deals with the eigenvalue problem for a fractional variable coefficients elliptic equation defined on a bounded domain. Compared to the previous work, we prove a quite different variational formulation of the first eigenvalue for the above ...
Yujuan Tian
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