Optimal quadrature problem on classes defined by kernels satisfying certain oscillation properties
type: Item
instance of: scholarly article
title: Optimal quadrature problem on classes defined by kernels satisfying certain oscillation properties
zbMATH Open document ID: 1101.41028
published in: Numerische Mathematik
publication date: 2006-11-27T00:00:00Z
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 5076326
zbMATH Keywords: Cyclic variation diminishing
zbMATH Keywords: Minimum norm
zbMATH Keywords: Optimal quadrature formula
author: Gensun Fang
author: Xue-hua Li
MaRDI profile type: Publication
full work available at URL: s00211-006-0032-3
OpenAlex ID: W2059844411
cites work: Approximations, widths and optimal quadrature formulae for classes of periodic functions with rearrangements invariant sets of derivatives
cites work: Q4348446
cites work: Best approximation and cyclic variation diminishing kernels
cites work: Q4271835
cites work: Comparison theorems of Kolmogorov type and exact values of 𝑛-widths on Hardy–Sobolev classes
cites work: Optimal quadrature problem on Hardy-Sobolev classes
cites work: Comparison theorems of Kolmogorov type for classes defined by cyclic variation diminishing operators and their application
cites work: Über die Breite von Klassen holomorpher periodischer Funktionen
cites work: Q5624248
cites work: Interpolation Properties of Generalized Perfect Splines and the Solutions of Certain Extremal Problems. I
cites work: Asymptotically optimal weighted numerical integration
cites work: Some problems in the approximation of functions of two variables and n- widths of integral operators
cites work: ON $ n$-WIDTHS, OPTIMAL QUADRATURE FORMULAS, AND OPTIMAL RECOVERY OF FUNCTIONS ANALYTIC IN A STRIP
cites work: Exact values of \(n\)-widths and optimal quadratures on classes of bounded analytic and harmonic functions
cites work: Exact \(n\)-widths of Hardy-Sobolev classes
cites work: On the precise values ofn-widths for classes defined by cyclic variation diminishing operators
cites work: Best quadrature formulae on Hardy-Sobolev classes
cites work: On n-widths of periodic functions
cites work: Q3344608
DOI: 10.1007/S00211-006-0032-3
description: scientific article; zbMATH DE number 5076326