Approximation of Infinitely Differentiable Periodic Functions by Interpolation Trigonometric Polynomials in Integral Metric

Authors

  • A. S. Serdyuk

Abstract

We obtain asymptotic equalities for the upper bounds of approximations of periodic infinitely differentiable functions by interpolation trigonometric polynomials in the metric of L 1 on the classes of convolutions.

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Published

25.12.2001

Issue

Vol. 53 No. 12 (2001)

Section

Research articles

How to Cite

Serdyuk, A. S. “Approximation of Infinitely Differentiable Periodic Functions by Interpolation Trigonometric Polynomials in Integral Metric”. Ukrains’kyi Matematychnyi Zhurnal, vol. 53, no. 12, Dec. 2001, pp. 1654-63, https://umj.imath.kiev.ua/index.php/umj/article/view/4385.