Convergence rates for lacunary trigonometric interpolation

A. S. Cavarotta, Chikkanna R. Selvaraj

Research output: Contribution to journalArticle

Abstract

Conditions for the solvability of lacunary trigonometric interpolation have been given by Cavaretta, Sharma, and Varga. When these conditions are satisfied, linear operators are defined on the space of continuous periodic functions. In this paper, the saturation rate and class of many of these operators is determined.

Original languageEnglish (US)
Pages (from-to)25-38
Number of pages14
JournalApproximation Theory and Its Applications
Volume5
Issue number2
DOIs
StatePublished - Jun 1989

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Trigonometric Interpolation
Convergence Rate
Interpolation
Periodic Functions
Linear Operator
Solvability
Saturation
Continuous Function
Operator
Class

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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title = "Convergence rates for lacunary trigonometric interpolation",
abstract = "Conditions for the solvability of lacunary trigonometric interpolation have been given by Cavaretta, Sharma, and Varga. When these conditions are satisfied, linear operators are defined on the space of continuous periodic functions. In this paper, the saturation rate and class of many of these operators is determined.",
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Convergence rates for lacunary trigonometric interpolation. / Cavarotta, A. S.; Selvaraj, Chikkanna R.

In: Approximation Theory and Its Applications, Vol. 5, No. 2, 06.1989, p. 25-38.

Research output: Contribution to journalArticle

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