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How best to recover a function from its inaccurately given spectrum?

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Publication:1938627
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DOI10.1134/S0001434612070061zbMath1268.90125MaRDI QIDQ1938627

Konstantin Yu. Osipenko, Gregorij G. Magaril-Il'yaev

Publication date: 22 February 2013

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


zbMATH Keywords

Fourier transformLagrange functionoptimal recovery of a functionSobolev class of functions


Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Optimality conditions for minimax problems (49K35)


Related Items (5)

On best harmonic synthesis of periodic functions ⋮ The best approximation of a set whose elements are known approximately ⋮ Optimal recovery in weighted spaces with homogeneous weights ⋮ Optimal recovery of operators and multidimensional Carlson type inequalities ⋮ Optimal Recovery of the Operators of the Divided Difference of the Inaccurately Given Sequence by the Fourier Transform




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