On best harmonic synthesis of periodic functions
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Publication:267599
DOI10.1007/s10958-015-2489-zzbMath1336.65208OpenAlexW1589716925MaRDI QIDQ267599
Gregorij G. Magaril-Il'yaev, Konstantin Yu. Osipenko
Publication date: 11 April 2016
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-015-2489-z
Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
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Cites Work
- Unnamed Item
- On optimal harmonic synthesis from inaccurate spectral data
- Optimal recovery of functions and their derivatives from inaccurate information about the spectrum and inequalities for derivatives
- How best to recover a function from its inaccurately given spectrum?
- Best recovery of the Laplace operator of a function from incomplete spectral data
- Optimal recovery of functions and their derivatives from Fourier coefficients prescribed with an error
- Optimal recovery of values of functions and their derivatives from inaccurate data on the Fourier transform