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On the degree of approximation by the operators of de la Vallée Poussin

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Abstract

In this paper we study the degree of approximation of functionsf inC 2π andC 12π by the operatorsV n ofde la Vallée Poussin. The quality of approximation is measured in terms of the modulus of continuity off andf′ respectively. Forn∈ℕ so-called exact constants of approximation are determined. Furthermore, the asymptotic behaviour of these constants is investigated asn→∞.

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Authors and Affiliations

  1. Department of Mathematics, Eindhoven University of Technology, Eindhoven, The Netherlands

    F. Schurer & F. W. Steutel

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  1. F. Schurer
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  2. F. W. Steutel
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Schurer, F., Steutel, F.W. On the degree of approximation by the operators of de la Vallée Poussin. Monatshefte für Mathematik 87, 53–64 (1979). https://doi.org/10.1007/BF01470937

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  • DOI: https://doi.org/10.1007/BF01470937

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