Approximation of Periodic Functions of High Smoothness by Interpolation Trigonometric Polynomials in the Metric of $L_1$

Authors

  • A. S. Serdyuk

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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Published

25.07.2000

Issue

Vol. 52 No. 7 (2000)

Section

Short communications

How to Cite

Serdyuk, A. S. “Approximation of Periodic Functions of High Smoothness by Interpolation Trigonometric Polynomials in the Metric of $L_1$”. Ukrains’kyi Matematychnyi Zhurnal, vol. 52, no. 7, July 2000, pp. 994-8, https://umj.imath.kiev.ua/index.php/umj/article/view/4501.