Results 1 to 10 of about 39,806 (63)

The upper bound of a reserve Hölder's type operator inequality and its applications

Journal of Inequalities and Applications, 2002
In our previous paper, we obtained a reverse Hölder's type inequality which gives an upper bound of the difference: with a parameter , for -tuples and of positive numbers and for , satisfying .
Tominaga Masaru
doaj   +3 more sources

Refining the Hölder and Minkowski inequalities

Journal of Inequalities and Applications, 2001
Refinements to the usual Hölder and Minkowski inequalities in the Lebegue spaces are proved. Both are inequalities for non-negative functions and both reduce to equality in .
Sinnamon G
doaj   +1 more source

Diamond- Jensen's Inequality on Time Scales

Journal of Inequalities and Applications, 2008
The theory and applications of dynamic derivatives on time scales have recently received considerable attention. The primary purpose of this paper is to give basic properties of diamond- derivatives which are a linear combination of delta and nabla ...
Sidi Ammi MoulayRchid, Ferreira RuiAC, Torres DelfimFM   +2 more
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Potential Theory on Lipschitz Domains in Riemannian Manifolds: Sobolev–Besov Space Results and the Poisson Problem [PDF]

, 2000
We continue a program to develop layer potential techniques for PDE on Lipschitz domains in Riemannian manifolds. Building on Lp and Hardy space estimates established in previous papers, here we establish Sobolev and Besov space estimates on solutions to
Mitrea, Marius, Taylor, Michael
core   +2 more sources

Boundary Layer Methods for Lipschitz Domains in Riemannian Manifolds [PDF]

, 1999
We extend to the variable coefficient case boundary layer techniques that have been successful in the treatment of the Laplace equation and certain other constant coefficient elliptic partial differential equations on Lipschitz domains in Euclidean space.
Mitrea, Marius, Taylor, Michael
core   +2 more sources

Pathwise methods in regularisation by noise [PDF]

, 2022
This thesis concerns the study of regularisation by noise phenomena for ODEs and PDEs. In particular, it focuses on the use of so called pathwise techniques: our aim is to identify analytical properties, satisfied by typical realizations of the noise in ...
Galeati, Lucio
core  

The Onsager-Machlup action functional for Mckean-Vlasov SDEs [PDF]

Communications in Nonlinear Science and Numerical Simulation, 2023, 2022
This paper is devoted to deriving the Onsager-Machlup action functional for Mckean-Vlasov stochastic differential equations in a class of norms that dominate $L^2([0,1], \mathbb{R}^d)$, such as supremum norm $\|\cdot\|_{\infty}$, H$\mathrm{\ddot{o}}$lder norms $\|\cdot\|_{\alpha}$ with $\alpha<\frac{1}{4}$ and $L^p$-norms with $p>4$ are included ...
arxiv   +1 more source

Conditional $h$-convexity with applications [PDF]

arXiv, 2022
In this paper, we introduce the notion of conditional $h$-convex functions and we prove an operator version of the Jensen inequality for conditional $h$-convex functions. Using this type of functions, we give some refinements for Ky-Fan's inequality, arithmetic-geometric mean inequality, Chrystal inequality, and H$\ddot{o}$lder-McCarthy inequality ...
arxiv  

Titchmarsh theorems, Hausdorff-Young-Paley inequality and $L^p$-$L^q$ boundedness of Fourier multipliers on harmonic $NA$ groups [PDF]

arXiv, 2021
In this paper we extend classical Titchmarsh theorems on the Fourier transform of H$\ddot{\text{o}}$lder-Lipschitz functions to the setting of harmonic $NA$ groups, which relate smoothness properties of functions to the growth and integrability of their Fourier transform.
arxiv  

On the degree of approximation by Gauss Weierstrass integrals

International Journal of Mathematics and Mathematical Sciences, 2000
We obtain the degree of approximation of functions belonging to class Lip(ψ(u,v);p),   p>1 using the Gauss Weierstrass integral of the double Fourier series of f(x,y).
Huzoor H. Khan, Govind Ram
doaj   +1 more source