Results 51 to 60 of about 262 (136)

Approximation of functions in Besov space by deferred Cesàro mean

Journal of Inequalities and Applications, 2016
In this paper we study the degree of approximation of functions (signals) in a Besov space by trigonometric polynomials using deferred Cesàro mean. We also deduce a few corollaries of our main result and compare them with the existing results.
Mradul Veer Singh, Madan Lal Mittal
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SOME EMBEDDINGS RELATED TO HOMOGENEOUS TRIEBEL–LIZORKIN SPACES AND THE BMO FUNCTIONS

Проблемы анализа
As the homogeneous Triebel–Lizorkin space $\dot{F}_{p,q}^s$ and the space BMO are defined modulo polynomials and constants, respectively, we prove that BMO coincides with the realized space of $\dot{F}_{\infty, 2}^0$ and cannot be directly identified ...
B. Gheribi, M. Moussai
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The Periodic Boundary Value Problem for the Weakly Dissipative μ-Hunter-Saxton Equation

Advances in Mathematical Physics, 2015
We study the periodic boundary value problem for the weakly dissipative μ-Hunter-Saxton equation. We establish the local well-posedness in Besov space B2,13/2, which extends the previous regularity range to the critical case.
Zhengyong Ouyang, Xiangdong Wang, Haiwu Rong   +2 more
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Convergence rates of wavelet density estimation for negatively dependent sample

Journal of Inequalities and Applications, 2019
In this paper, linear and nonlinear wavelet estimators are defined for a density in a Besov space based on a negatively dependent random sample, and their upper bounds on Lp $L^{p}$ ( 1 ...
Junlian Xu
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A new regularity criterion for the Navier-Stokes equations in terms of the two components of the velocity

Electronic Journal of Qualitative Theory of Differential Equations, 2016
This paper establishes a new regularity criterion for the Navier-Stokes equation in terms of two velocity components. We show that if the two velocity components $\widetilde{u}=\left( u_{1},u_{2},0\right) $ satisfy \begin{equation*} \int_{0}^{T}\Vert ...
Sadek Gala, Maria Ragusa
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Explicit Wavelet Approximation in Weighted Besov Spaces with Applications to Piecewise Regular Series Under Structural Breaks

Mathematics
We establish explicit direct and inverse approximation estimates for biorthogonal multiresolution projections on weighted Besov spaces over Muckenhoupt Ap weights.
Kai-Cheng Wang
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Besov-Morrey spaces associated with Hermite operators and applications to fractional Hermite equations

Electronic Journal of Differential Equations, 2018
The purpose of this article is to establish the molecular decomposition of the homogeneous Besov-Morrey spaces associated with the Hermite operator $\mathbb{H} = -\Delta+|x|^2$ on the Euclidean space $\mathbb{R}^n$.
Nguyen Anh Dao, Nguyen Ngoc Trong, Le Xuan Truong   +2 more
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Homogeneous Besov Spaces associated with the spherical mean operator

Cubo, 2011
We define and study homogeneous Besov spaces associated with the spherical mean operator. We establish some results of completeness, continuous embeddings and density of subspaces.
L.T Rachdi, A Rouz
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Uniqueness of Weak Solutions to an Electrohydrodynamics Model

Abstract and Applied Analysis, 2012
This paper studies uniqueness of weak solutions to an electrohydrodynamics model in ℝd (d=2,3). When d=2, we prove a uniqueness without any condition on the velocity.
Yong Zhou, Jishan Fan
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A Regularity Criterion for the Magneto-Micropolar Fluid Equations in B˙∞,∞−1

Discrete Dynamics in Nature and Society, 2013
The paper is dedicated to study of the Cauchy problem for the magneto-micropolar fluid equations in three-dimensional spaces. A new logarithmically improved regularity criterion for the magneto-micropolar fluid equations is established in terms of the ...
Zhihao Tang, Gang Wang, Haiwa Guan
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