Approximation of a function \(f\) of generalized Lipschitz class by its extended Legendre wavelet series

DOI10.1007/s40819-018-0577-8zbMath1412.42092OpenAlexW2901172806MaRDI QIDQ1627744

Priya Kumari, Shyam Lal

Publication date: 3 December 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-018-0577-8

zbMATH Keywords

Legendre wavelet\(\operatorname{Lip}_\alpha ^{(s)}[0,1)\) class\(\operatorname{Lip}\xi[0,1)\) classextended Legendre approximationextended Legendre expansionextended Legendre 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) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (2)

Approximation of functions of Hőlder class and solution of ODE and PDE by extended Haar wavelet operational matrix ⋮ Unnamed Item

Cites Work

• Collocation method for the natural boundary integral equation
• Legendre wavelet method for numerical solutions of partial differential equations
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