Algorithms reconstructing the iterated functional which are optimal in classes of grid products
type: Item
instance of: scholarly article
title: Algorithms reconstructing the iterated functional which are optimal in classes of grid products
zbMATH Open document ID: 0645.65010
author: S. V. Korchanov
published in: Moscow University Computational Mathematics and Cybernetics
publication date: 1986-01-01T00:00:00Z
review text: Given a class of functions f(x,y) defined on \(X\times Y\), functionals of the form \(U(f)=U_ X(U_ Y(x)(f))\) are introduced, where \(U_ X:{\mathcal F}\to R\), \(U_ Y: F_ y\to {\mathbb{R}}\), \({\mathcal F}_ x\), \({\mathcal F}_ y\) being classes of functions. The author considers the problem of approximation of U in a certain optimal way on the basis of the values of f at a given number of points from \(X\times Y\).
Mathematics Subject Classification ID: 65D15
Mathematics Subject Classification ID: 41A46
zbMATH DE Number: 4052879
zbMATH Keywords: iterated functional
zbMATH Keywords: classes of grid products
zbMATH Keywords: renewal algorithms
zbMATH Keywords: optimal algorithm
zbMATH Keywords: optimal recovery
reviewed by: Borislav D. Bojanov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4052879