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Degree of approximation of functions associated with Hardy-Littlewood series in the Hölder metric by Euler means

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Abstract

After establishing the Fourier character of the Hardy-Littlewood series the authors have studied the degree of approximation of functions associated with the same series in the Hölder metric using Euler means.

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Authors and Affiliations

  1. Department of Mathematics, Utkal University, 751 004, Bhubaneswar, India

    G Das

  2. Department of Mathematics, Ravenshaw College, 753 003, Cuttack, India

    A K Ojha

  3. Department of Mathematics, B.J.B. Morning College, 751 014, Bhubaneswar, India

    B K Ray

Authors
  1. G Das
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  2. A K Ojha
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  3. B K Ray
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Das, G., Ojha, A.K. & Ray, B.K. Degree of approximation of functions associated with Hardy-Littlewood series in the Hölder metric by Euler means. Proc. Indian Acad. Sci. (Math. Sci.) 106, 227–243 (1996). https://doi.org/10.1007/BF02867432

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  • DOI: https://doi.org/10.1007/BF02867432

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