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

      G Das Anasuya Nath B K Ray

      Volume 112 Issue 2 May 2002 pp 299-319

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/112/02/0299-0319

    • Keywords

       

      Nörlund mean; (R{9n2}) method; Abelian theorems; Hölder metric; Banach space; Fourier effective

    • 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).

    • Author Affiliations

       

      G Das1 Anasuya Nath1 B K Ray1 2

      1. Department of Mathematics, Utkal University, Vani Vihar, Bhubaneswar 751 004, Orissa, India
      2. Department of Mathematics, Ravenshaw College, Cuttack 753 003, Orissa, India

    • Dates

       
      Published
      May 2002
      Manuscript received
      22 June 1998
      Manuscript revised
      11 June 2001

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