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The Lower Estimate of Deviations of Fejer Sums on Classes of Poisson Integrals

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Abstract

We obtain asymptotic lower estimate for upper bounds of the deviations of Fejer sums taken over classes of periodic functions that admit analytic extensions to a fixed strip of the complex plane.

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Correspondence to O. Rovenska.

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(Submitted by A. M. Elizarov)

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Rovenska, O. The Lower Estimate of Deviations of Fejer Sums on Classes of Poisson Integrals. Lobachevskii J Math 42, 2936–2941 (2021). https://doi.org/10.1134/S1995080221120283

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  • DOI: https://doi.org/10.1134/S1995080221120283

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