Perfect spline approximation
type: Item
instance of: scholarly article
title: Perfect spline approximation
zbMATH Open document ID: 1029.41004
DOI: 10.1016/S0021-9045(02)00062-X
published in: Journal of Approximation Theory
publication date: 2003-05-27T00:00:00Z
review text: Uniqueness and approximation orders of perfect splines are studied in this article. In the main result, upper bounds to the best approximation by perfect splines to continuous functions are provided. Moreover, the approximation results are related to the so-called \(\Sigma\Delta\) modulation of bandlimited univariate signals.
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A29
Mathematics Subject Classification ID: 41A30
Mathematics Subject Classification ID: 41A50
Mathematics Subject Classification ID: 41A52
Mathematics Subject Classification ID: 49M25
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 1917875
zbMATH Keywords: perfect splines
zbMATH Keywords: spline approximation
zbMATH Keywords: sigma-delta modulation
author: Yingkang Hu
author: Xiang Ming Yu
reviewed by: Martin D. Buhmann
MaRDI profile type: Publication
cites work: On cardinal perfect splines of least sup-norm on the real axis
cites work: Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order
cites work: A practical guide to splines
cites work: Q4273944
cites work: Q5676168
cites work: Discrete Modulus of Smoothness of Splines with Equally Spaced Knots
cites work: Local spline approximation methods
cites work: Sigma-delta modulation with leaky integration and constant input
cites work: Q3895980
cites work: Q5680530
cites work: Stability analysis for several second-order Sigma-Delta methods of coarse quantization of bandlimited functions
description: scientific article; zbMATH DE number 1917875