Lacunary Trigonometric Interpolation On Equidistant Nodes

A. Jakimovski, A. Sharma

Research output: Contribution to journalArticlepeer-review

Abstract

Let f(θ) ∊ C2π. and let RM(f;θ) be the unique trigonometric polynomial of degree M satisfying (1.1) on the equidistant nodes 9, • We compare the error f(6) - RM(f;θ) with the error f(θ) - L (f;8) where LM (f;θ) is the Lagrange interpolant to f on the equidistant nodes [formula omitted], n - 2m+l. As a consequence it follows that if L (f;6) converges uniformly to f, then so does RM(f;θ).

Original languageEnglish
Pages (from-to)269-284
Number of pages16
JournalAnalysis (Germany)
Volume6
Issue number2-3
DOIs
StatePublished - Jan 1986
Externally publishedYes

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