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Approximation of Periodic Functions of High Smoothness by Interpolation Trigonometric Polynomials in the Metric of L1

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Abstract

We establish an asymptotically exact estimate for the error of approximation of ℝ2-periodic functions of high smoothness by interpolation trigonometric polynomials in the metric of L 1.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. S. Serdyuk

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  1. A. S. Serdyuk
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Serdyuk, A.S. Approximation of Periodic Functions of High Smoothness by Interpolation Trigonometric Polynomials in the Metric of L1. Ukrainian Mathematical Journal 52, 1141–1146 (2000). https://doi.org/10.1023/A:1005246204437

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  • DOI: https://doi.org/10.1023/A:1005246204437

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