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.
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Serdyuk, A.S. Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials in the Metric of the Space L. Ukrainian Mathematical Journal 54, 852–861 (2002). https://doi.org/10.1023/A:1021695716466
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DOI: https://doi.org/10.1023/A:1021695716466