Cubature remainder estimates by approximation degrees
type: Item
instance of: scholarly article
title: Cubature remainder estimates by approximation degrees
zbMATH Open document ID: 0692.41031
DOI: 10.1007/BF03322473
author: Werner Haussmann
author: Eberhard Luik
published in: Results in Mathematics
publication date: 1989-01-01T00:00:00Z
review text: Investigations on error bounds, approximations and estimates deserve increased attention, particularly in view of their applicability in different situations. Here the authors tackle the problems aimed at settling cubature remainder estimates using biorthogonal techniques of the tensor product type. Included are Lebesgue's inequality, estimates, Chebyshev polynomials, quadrature remainder, bivariates, product and blending curvatures. The paper contains nine theorems and ends with some concluding remarks.
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 65G50
zbMATH DE Number: 4132830
zbMATH Keywords: error bounds
zbMATH Keywords: biorthogonal techniques
zbMATH Keywords: tensor product
zbMATH Keywords: Lebesgue's inequality
zbMATH Keywords: Chebyshev polynomials
zbMATH Keywords: quadrature remainder
zbMATH Keywords: blending curvatures
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf03322473
OpenAlex ID: W2089963401
description: scientific article; zbMATH DE number 4132830