On passive and active algorithms of reconstruction of functions
type: Item
instance of: scholarly article
title: On passive and active algorithms of reconstruction of functions
zbMATH Open document ID: 0805.65011
DOI: 10.1007/BF01060984
author: N. P. Korneichuk
published in: Ukrainian Mathematical Journal
publication date: 1994-09-20T00:00:00Z
review text: Two interpolation algorithms for continuous functions on a finite interval, satisfying a Hölder condition, are studied. The first, so called ``passive'', uses the arbitrary choice of the interpolating nodes. The second, ``active'', chooses the nodes step by step, taking into account the previously considered values. The active algorithm guarantees the great precision for monotonic functions fromt the above class.
reviewed by: Jacek Gilewicz
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 635719
zbMATH Keywords: passive and active algorithms
zbMATH Keywords: reconstruction of functions
zbMATH Keywords: Hölder continuous functions
zbMATH Keywords: interpolation algorithms
zbMATH Keywords: monotonic functions
MaRDI profile type: Publication
cites work: Q4115573
cites work: Q4040646
cites work: Q3038616
cites work: Q3993279
full work available at URL: https://doi.org/10.1007/bf01060984
OpenAlex ID: W2018197581
Recommended article: An algorithm for reconstructing functions
Recommended article: Q3768246
Recommended article: On one algorithm for solving the problem of source function reconstruction
Recommended article: On Reconstructing Functions from Binary Measurements
Recommended article: On an algorithm for dynamic reconstruction of the input
Recommended article: Optimal algorithms for the reconstruction of functions and the computation of integrals in a class of infinitely differentiable functions.
Recommended article: Q3681322
Recommended article: Q4219195
Recommended article: Optimization of active algorithms for recovery of monotonic functions from Hölder's class
Recommended article: Reconstruction of functions on the basis of sequences of linear functionals
description: scientific article; zbMATH DE number 635719