Approximation of function belonging to generalized Hölder's class by first and second kind Chebyshev wavelets and their applications in the solutions of Abel's integral equations

DOI10.1007/s40065-020-00299-6zbMath1464.42031OpenAlexW3109381565MaRDI QIDQ2023773

R. Priya Sharma, Shyam Lal

Publication date: 3 May 2021

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

Full work available at URL: https://doi.org/10.1007/s40065-020-00299-6

zbMATH Keywords

waveletsChebyshev polynomialsAbel equationsgeneralized Hölder continuity

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

• Chebyshev wavelet method for numerical solution of Fredholm integral equations of the first kind
• A method for the numerical resolution of Abel-type integral equations of the first kind
• Degree of approximation of functions by their Fourier series in the generalized Hölder metric
• Degree of approximation of functions in the generalized Hölder metric
• Numerical solution of Abel's integral equation by using Legendre wavelets
• Numerical computation method in solving integral equations by using Chebyshev wavelet operational matrix of integration
• Legendre wavelet method for numerical solutions of partial differential equations
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