Generalized discrete Fourier transform on the base of Lagrange and Hermite interpolation formulas

DOI10.1134/S1995080222090256zbMath1505.42008MaRDI QIDQ2095827

O. E. Yaremko, N. N. Yaremko, Sergeĭ Mikhaĭlovich Sitnik

Publication date: 15 November 2022

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

zbMATH Keywords

discrete Fourier transformHermite interpolation formulabarycentric Lagrange interpolation formula

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Uses Software

• Matlab
• FFTW
• Chebfun

Cites Work

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• A Generalization of Hermite's Interpolation Formula
• Extension of Chebfun to Periodic Functions
• A Modified Split-Radix FFT With Fewer Arithmetic Operations
• Barycentric Lagrange Interpolation
• Fast methods of solving Poisson's equation

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