Error optimization in the operators of interlineation of functions on \(M\) parallel lines

DOI10.1007/S10559-021-00346-WzbMath1470.41033OpenAlexW3140998142MaRDI QIDQ2044002

A. A. Biloborodov, O. N. Litvin, O. V. Tkachenko, O. O. Lytvyn, Ivan V. Sergienko

Publication date: 4 August 2021

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-021-00346-w

zbMATH Keywords

optimizationremainderoperatorinterlineation

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

• Unnamed Item
• Interpolation of Cauchy data on several parallel lines in \(R^ 2\) with preservation of the differentiability class
• Recovery of the functions of two variables with preservation of the class C^r(R²) with the help of their traces and the traces of their derivatives up to a fixed order on the given curve

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