Optimal quadrature evaluation of integrals of rapidly oscillating functions in Lipschitz interpolation class in case of strong oscillation

DOI10.1007/S10559-010-9203-4zbMath1221.65349OpenAlexW2067870333MaRDI QIDQ1956996

V. K. Zadiraka, L. V. Luts, S. S. Mel'nikova

Publication date: 24 September 2010

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-010-9203-4

zbMATH Keywords

Fourier transformquadrature formulasboundary function methodChebyshev radiusChebyshev centerrapidly oscillating functionsaccuracy-optimal algorithmuncertainty domain

Mathematics Subject Classification ID

Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

• Optimal quadrature and cubature formulas for computing Fourier transform of finite functions of one class. Case of strong oscillation
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