2019
Том 71
№ 9

All Issues

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

Serdyuk A. S.

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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.

English version (Springer): Ukrainian Mathematical Journal 52 (2000), no. 7, pp 1141-1146.

Citation Example: Serdyuk A. S. Approximation of Periodic Functions of High Smoothness by Interpolation Trigonometric Polynomials in the Metric of $L_1$ // Ukr. Mat. Zh. - 2000. - 52, № 7. - pp. 994-998.

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