Approximation of Riemann-Liouville type integrals on an interval by methods based on Fourier-Chebyshev sums

DOI10.1134/s0001434624070095MaRDI QIDQ6636273

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Publication date: 12 November 2024

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

asymptotic estimateuniform approximationLaplace methodRiemann-Liouville integralFourier-Chebyshev sumfunctions with power-type singularities

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Functions of one variable (26Axx) Approximations and expansions (41Axx)

Cites Work

• Comparison of the rates of rational and polynomial approximations of differentiable functions
• Approximations of functions in the uniform metric by Fourier sums of orthogonal polynomials
• Fractional Integration Toolbox
• On the approximation of Riemann-Liouville integral by fractional nabla h-sum and applications
• Estimate of the approximation of periodic functions by Fourier series
• Rational approximations of Riemann-Liouville and Weyl fractional integrals
• Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu
• Numerical Methods for Fractional Differentiation
• Bernstein-type constants for approximation of \(| x |^\alpha\) by partial Fourier-Legendre and Fourier-Chebyshev sums
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