2019
Том 71
№ 7

# Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials in the Metric of the Space $L$

Serdyuk A. S.

Abstract

We obtain asymptotic equalities for the upper bounds of approximations by interpolation trigonometric polynomials in the metric of the space L on classes of convolutions of periodic functions admitting a regular extension into a fixed strip of the complex plane.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 5, pp 852-861.

Citation Example: Serdyuk A. S. Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials in the Metric of the Space $L$ // Ukr. Mat. Zh. - 2002. - 54, № 5. - pp. 692-699.

Full text