Optimal recovery of convolutions and scalar products of functions from various classes

DOI10.1007/BF01061804zbMath0782.42010OpenAlexW2013195334MaRDI QIDQ1181618

A. A. Rudenko, Vladislav F. Babenko

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01061804

zbMATH Keywords

convolutionsscalar productsoptimal recovery

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Convolution, factorization for one variable harmonic analysis (42A85) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (4)

Optimal recovery of operator sequences ⋮ Optimal recovery of elements of a Hilbert space and their scalar products according to the Fourier coefficients known with errors ⋮ On the optimal reconstruction of the convolution of \(n\) functions according to the linear information ⋮ Optimal recovery of \(n\)-linear functionals according to linear information

Cites Work

• On n-widths of periodic functions
• On variation diminishing transformations on the circle
• Approximate computation of scalar products
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