Reconstruction of functions on the basis of sequences of linear functionals
type: Item
instance of: scholarly article
title: Reconstruction of functions on the basis of sequences of linear functionals
zbMATH Open document ID: 0848.42003
author: Rumen Kozarev
published in: Journal of Approximation Theory
publication date: 1996-10-28T00:00:00Z
review text: The author studies the question about a reconstruction of functions from a certain class. The reconstruction is realized on the basis of sequences of linear functionals \(\ln(f)= \sum^{m(n)}_{k= 0} a_{nk} f(x_{nk})\). An explicit expression for the reconstructed function is given. The author studies the sequences of linear functionals of the form defined above and shows some new examples which have the property that \(\ln(f)= 0\) implies \(f= 0\). Then he also gives an explicit expression for \(f\) on the basis for information of \(\ln(f)\).
Mathematics Subject Classification ID: 42A05
zbMATH DE Number: 827934
zbMATH Keywords: reconstruction of functions
zbMATH Keywords: linear functionals
MaRDI profile type: Publication
full work available at URL: jath.1995.1118
OpenAlex ID: W2049232589
DOI: 10.1006/JATH.1995.1118
description: scientific article; zbMATH DE number 827934