Divergence of trigonometric lacunary interpolation
type: Item
instance of: scholarly article
title: Divergence of trigonometric lacunary interpolation
zbMATH Open document ID: 0579.42005
DOI: 10.1007/BF01957036
published in: Acta Mathematica Hungarica
publication date: 1985-01-01T00:00:00Z
review text: The authors prove divergence theorems for (O,M)-type lacunary trigonometric interpolation (M even) on equally spaced knots, in the uniform norm and in the weighted \(L^ p\) norm, \(p>0\). The results are given in terms of moduli of continuity with some special properties.
Mathematics Subject Classification ID: 42A15
zbMATH DE Number: 3927587
zbMATH Keywords: divergence theorems
zbMATH Keywords: lacunary trigonometric interpolation
zbMATH Keywords: equally spaced knots
author: Paul Nevai
author: Péter Vértesi
MaRDI profile type: Publication
cites work: Notes on interpolation. I. (On some interpolatorical properties of the ultraspherical polynomials)
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cites work: Sur l'interpolation (I)
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description: scientific article; zbMATH DE number 3927587