Approximations of a function whose first and second derivatives belonging to generalized Hölder's class by extended Legendre wavelet method and its applications in solutions of differential equations

DOI10.1007/s12215-020-00526-1zbMath1471.42075OpenAlexW3046447277MaRDI QIDQ2047471

Shyam Lal, Priya R. Sharma

Publication date: 20 August 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00526-1

zbMATH Keywords

wavelet approximationextended Legendre waveletgeneralized Hölder's class

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)

Cites Work

• Degree of approximation of functions by their Fourier series in the generalized Hölder metric
• Legendre wavelet method for numerical solutions of partial differential equations
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