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New methods for quasi-interpolation approximations: resolution of odd-degree singularities

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Publication:6659309
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DOI10.1016/j.matcom.2024.03.032MaRDI QIDQ6659309

Martin D. Buhmann, J. Jäger, M. L. Rodríguez, Joaquín Jódar-Reyes

Publication date: 9 January 2025

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)




zbMATH Keywords

radial basis functionsquasi-interpolationapproximation ordersuni- and multivariable approximations


Mathematics Subject Classification ID

Numerical analysis (65-XX) Approximations and expansions (41-XX)


Cites Work

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  • The Fourier transform of the quartic Gaussian \(\exp(-Ax^4)\): hypergeometric functions, power series, steepest descent asymptotics and hyperasymptotics and extensions to \(\exp(-Ax^{2 n})\)
  • Quartic Gaussian and inverse-quartic Gaussian radial basis functions: the importance of a nonnegative Fourier transform
  • The Fourier transform of a function of bounded variation: symmetry and asymmetry
  • Pointwise approximation with quasi-interpolation by radial basis functions
  • Radial Basis Functions
  • Quasi-Interpolation







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