Approximation of functions of space \(L^2(\mathbb R)\) by wavelet expansions

DOI10.1134/S1995080213020091zbMath1279.42044MaRDI QIDQ372796

Manoj Kumar, Shyam Lal

Publication date: 21 October 2013

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

modulus of continuityscaling functionwavelet expansionsmultiresolution analyis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (5)

Approximation of integrable functions by wavelet expansions ⋮ The approximations of a function belonging Hölder class Hα[0,1) by second kind Chebyshev wavelet method and applications in solutions of differential equation ⋮ Quasi-positive delta sequences and their applications in wavelet approximation ⋮ Approximation of a function \(f\) belonging to Lipschitz class by Legendre wavelet method ⋮ Unnamed Item

Cites Work

• Approximation of the delta function by wavelets
• Pointwise convergence of wavelet expansions
• Gibbs phenomenon for wavelets
• Orthonormal bases of compactly supported wavelets
• Some Results on the Convergence of Sampling Series Based on Convolution Integrals

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