Limit relation for various methods of approximation of periodic functions by splines and trigonometric polynomials
type: Item
instance of: scholarly article
title: Limit relation for various methods of approximation of periodic functions by splines and trigonometric polynomials
zbMATH Open document ID: 0621.41019
DOI: 10.1007/BF01905931
author: V. L. Velikin
published in: Analysis Mathematica
publication date: 1987-01-01T00:00:00Z
review text: An asymptotic relation for linear, best, and best with restrictions, methods of approximation is studied for periodic functions, by subspaces of splines and trigonometric polynomials of fixed dimension. Estimates of deviation between approximations of fixed elements from a normed space by splines and polynomials are obtained.
Mathematics Subject Classification ID: 41A50
Mathematics Subject Classification ID: 41A65
zbMATH DE Number: 4006904
zbMATH Keywords: methods of approximation
zbMATH Keywords: periodic functions
zbMATH Keywords: trigonometric polynomials
zbMATH Keywords: Estimates of deviation
MaRDI profile type: Publication
cites work: Q5344190
cites work: The Approximation of Linear Functionals
cites work: Characterizations of strong unicity in approximation theory
cites work: Q5503631
cites work: On convergence and growth of partial sums of Fourier series
cites work: Lipschitz conditions on uniform approximation operators
cites work: On the convergence of interpolating periodic spline functions of high degree
cites work: Approximation by periodic spline interpolants on uniform meshes
cites work: Lipschitz and strong unicity constants for changing dimension
cites work: Q3506242
cites work: The Brauer-Manin Obstruction and III[2]
cites work: Über die beste Auswahl der Knoten bei der Interpolation von Funktionen vermittels Hermitescher Splinefunktionen
cites work: Some theorems on Cebysev approximation
cites work: Stone Duality for Nominal Boolean Algebras with И
cites work: Q3215721
cites work: L-splines
cites work: Period, index and potential \(\text Ш\)
cites work: Q4109656
description: scientific article; zbMATH DE number 4006904