Discrepancy and integration of continuous functions
type: Item
instance of: scholarly article
title: Discrepancy and integration of continuous functions
zbMATH Open document ID: 0644.41018
DOI: 10.1016/0021-9045(88)90051-2
published in: Journal of Approximation Theory
publication date: 1988-01-01T00:00:00Z
review text: Approximation theory appears to be gaining ground these days and it is a good omen keeping with the reality even in pure and general sciences as well as in mathematics. Discrepancies and errors in constructions and computations of every kind are quite important to be accounted for. Here the author states and proves in detail two results in terms of theorems expressed as inequalities. There are four sections: introduction, auxiliary results and proofs (2) along with 7 lemmas which are so constructed as to provide partial conclusions. In the context of determining the rigorous bounds and estimates for magnitudes the paper does constitute a very useful contribution.
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 4050208
zbMATH Keywords: bounds
zbMATH Keywords: estimates
author: Petko D. Proinov
MaRDI profile type: Publication
full work available at URL: 0021-9045(88)90051-2
OpenAlex ID: W2026745750
cites work: Q5661967
cites work: Q3927622
cites work: Beiträge zur Diskrepanz bezüglich gewichteter Mittel. (Contributions to the discrepancy with respect to weighted means)
cites work: Q5622304
cites work: Q4192146
cites work: Q3930158
cites work: Q3719209
cites work: Discrepancy and convex programming
description: scientific article; zbMATH DE number 4050208