Convergence rates for lacunary trigonometric interpolation

A. S. Cavarotta; C. R. Selvaraj

doi:10.1007/BF02888884

Convergence rates for lacunary trigonometric interpolation

A. S. Cavarotta, C. R. Selvaraj

Penn State Shenango

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	25-38
Number of pages	14
Journal	Approximation Theory and Its Applications
Volume	5
Issue number	2
DOIs	https://doi.org/10.1007/BF02888884
State	Published - Jun 1 1989

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/BF02888884

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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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AB - 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

Abstract

All Science Journal Classification (ASJC) codes

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