Error bounds of a function related to generalized Lipschitz class via the pseudo-Chebyshev wavelet and its applications in the approximation of functions

DOI10.15330/CMP.14.1.29-48OpenAlexW4224883712WikidataQ114006934 ScholiaQ114006934MaRDI QIDQ5053776

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Publication date: 7 December 2022

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.14.1.29-48

zbMATH Keywords

multiresolution analysiswavelet\(\mathrm{Lip}_{[0, 1)}\alpha\) class of functions\(\mathrm{Lip}_{[0, 1)}\xi\) class of functionspseudo-Chebyshev functionpseudo-Chebyshev wavelet

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for integral equations (65R20) Numerical methods for wavelets (65T60) General harmonic expansions, frames (42C15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Approximations and expansions (41-XX)

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LINEAR AND NON-LINEAR WAVELET APPROXIMATIONS OF FUNCTIONS OF LIPSCHITZ CLASS AND RELATED CLASSES USING THE HAAR WAVELET SERIES

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