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Approximation of periodic functions by interpolation polynomials in L1

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Abstract

Asymptotically precise estimates are obtained for the deviation, in the L1-norm, of interpolation polynomials with equally-spaced nodes from certain classes of functions.

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Authors and Affiliations

  1. Dnepropetrovsk University, USSR

    V. P. Motornyi

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  1. V. P. Motornyi
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 6, pp. 781–786, June, 1990.

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Motornyi, V.P. Approximation of periodic functions by interpolation polynomials in L1 . Ukr Math J 42, 690–693 (1990). https://doi.org/10.1007/BF01058914

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  • DOI: https://doi.org/10.1007/BF01058914

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