On approximation of signals in the generalized Zygmund class via (E, 1) (N̅, pn) summability means of conjugate Fourier series

• Pradhan, T. ; Paikray, S. K. ^[1] ; Das, A. A. ^[1] ; Dutta, Hemen ^[2]
  1. [1] Veer Surendra Sai University of Technology

     Veer Surendra Sai University of Technology

     India

     
  2. [2] Gauhati University

     Gauhati University

     India

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 38, Nº. 5, 2019, págs. 981-998
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-2019-05-0063
• Enlaces
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• Resumen

  • Approximation of functions of different classes have been considered by various researchers under different summability means. In the present paper, presumably a new theorem has been established under (E, 1)(N̅ pn) -product summability mean of conjugate Fourier series of a function of Zr(⍵) r (r ≥ 1) -class (generalized Zygmund class). Moreover, the result obtained here is a generalization of several known theorems.

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