Results 21 to 30 of about 39,939 (63)

On improvements of the Rozanova's inequality

Journal of Inequalities and Applications, 2011
In the present paper, we establish some new Rozanova's type integral inequalities involving higher-order partial derivatives. The results in special cases yield some of the interrelated results on Rozanova's inequality and provide new estimates on ...
Cheung Wing-Sum, Zhao Chang-Jian
doaj  

The Reverse Hölder Inequality for the Solution to p-Harmonic Type System

Journal of Inequalities and Applications, 2008
Abstract Some inequalities to -harmonic equation have been proved. The -harmonic equation is a particular form of -harmonic type system only when and . In this paper, we will prove the Poincaré inequality and the reverse Hölder inequality for the solution to the -harmonic type system.
Zhu Haijing, Cao Zhenhua, Bao Gejun, Li Ronglu   +3 more
openaire   +1 more source

On some Opial-type inequalities

Journal of Inequalities and Applications, 2011
In the present paper we establish some new Opial-type inequalities involving higher-order partial derivatives. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type.
Cheung Wing-Sum, Zhao Chang-Jian
doaj  

On Minkowski's inequality and its application

Journal of Inequalities and Applications, 2011
In the paper, we first give an improvement of Minkowski integral inequality. As an application, we get new Brunn-Minkowski-type inequalities for dual mixed volumes.
Cheung Wing-Sum, Zhao Chang-Jian
doaj  

Convergence Rate Analysis for Fixed-Point Iterations of Generalized Averaged Nonexpansive Operators [PDF]

arXiv, 2021
We estimate convergence rates for fixed-point iterations of a class of nonlinear operators which are partially motivated from solving convex optimization problems. We introduce the notion of the generalized averaged nonexpansive (GAN) operator with a positive exponent, and provide a convergence rate analysis of the fixed-point iteration of the GAN ...
arxiv  

Unitarily invariant norms related to factors [PDF]

arXiv, 2007
Let $\M$ be a semi-finite factor and let $\J(\M)$ be the set of operators $T$ in $\M$ such that $T=ETE$ for some finite projection $E$. In this paper we obtain a representation theorem for unitarily invariant norms on $\J(\M)$ in terms of Ky Fan norms.
arxiv  

On A Class of Degenerate And Singular Monge-Ampère Equations [PDF]

arXiv, 2019
In this paper we shall prove the existence, uniqueness and global H$\ddot{o}$lder continuity for the Dirichlet problem of a class of Monge-Amp\`ere type equations which may be degenerate and singular on the boundary of convex domains. We will establish a relation of the H$\ddot{o}$lder exponent for the solutions with the convexity for the domains.
arxiv  

Continuous Wavelets on Compact Manifolds [PDF]

, 2008
Let $\bf M$ be a smooth compact oriented Riemannian manifold, and let $\Delta_{\bf M}$ be the Laplace-Beltrami operator on ${\bf M}$. Say $0 \neq f \in \mathcal{S}(\RR^+)$, and that $f(0) = 0$. For $t > 0$, let $K_t(x,y)$ denote the kernel of $f(t^2 \Delta_{\bf M})$. We show that $K_t$ is well-localized near the diagonal, in the sense that it satisfies
arxiv   +1 more source

Tracial gauge norms on finite von Neumann algebras satisfying the weak Dixmier property [PDF]

arXiv, 2007
In this paper we set up a representation theorem for tracial gauge norms on finite von Neumann algebras satisfying the weak Dixmier property in terms of Ky Fan norms. Examples of tracial gauge norms on finite von Neumann algebras satisfying the weak Dixmier property include unitarily invariant norms on finite factors (type ${\rm II}\sb 1$ factors and ...
arxiv  

H$\ddot{o}$lder continuity for stochastic fractional heat equation with colored noise [PDF]

arXiv, 2016
In this paper, we consider semilinear stochastic fractional heat equation $\frac{\partial}{\partial t}u_{\beta,t}(x)=\triangle^{\alpha/2}u_{\beta,t}(x)+\sigma(u_{\beta,t}(x))\eta_{\beta}$. The Gaussian noise $\eta_{\beta}$ is assumed to be colored in space with covariance of the form $E(\eta_{\beta}(t,x)\eta_{\beta}(s,y))=\delta(t-s)f_{\beta}(x-y ...
arxiv