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A new trigonometric method of summation and its application to the degree of approximation

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Abstract

The object of the present investigation is to introduce a new trigonometric method of summation which is both regular and Fourier effective and determine its status with reference to other methods of summation (see §2-§4) and also give an application of this method to determine the degree of approximation in a new Banach space of functions conceived as a generalized Holder metric (see §5).

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Authors and Affiliations

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

    G. Das, Anasuya Nath & B. K. Ray

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

    B. K. Ray

Authors
  1. G. Das
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  2. Anasuya Nath
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  3. B. K. Ray
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Das, G., Nath, A. & Ray, B.K. A new trigonometric method of summation and its application to the degree of approximation. Proc. Indian Acad. Sci. (Math. Sci.) 112, 299–319 (2002). https://doi.org/10.1007/BF02829755

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  • DOI: https://doi.org/10.1007/BF02829755

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