ArticleOriginal scientific text

Title

Absolute Nörlund summability factors of power series and Fourier series

Authors 1

Affiliations

  1. Department of Mathematics, Erciyes University, Kayseri 38039, Turkey

Abstract

Four theorems of Ahmad [1] on absolute Nörlund summability factors of power series and Fourier series are proved under weaker conditions.

Bibliography

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  3. M. Fekete, Zur Theorie der divergenten Reihen, Math. és Termes Ersitö (Budapest) 29 (1911), 719-726.
  4. N. Kishore, On the absolute Nörlund summability factors, Riv. Mat. Univ. Parma (2) 6 (1965), 129-134.
  5. E. Kogbetliantz, Sur les séries absolument sommables par la méthode des moyennes arithmétiques, Bull. Sci. Math. 49 (1925), 234-256.
  6. F. M. Mears, Some multiplication theorems for the Nörlund mean, Bull. Amer. Math. Soc. 41 (1935), 875-880.
  7. K. N. Mishra, On the absolute Nörlund summability factors of infinite series, Indian J. Pure Appl. Math. 14 (1983), 40-43.
  8. T. Pati, Absolute Cesàro summability factors of infinite series, Math. Z. 78 (1962), 293-297.
  9. C. T. Rajagopal, On |C,1| summability factors of power series and Fourier series, Math. Z. 80 (1963), 265-268.
Pages:
11-17
Main language of publication
English
Received
1989-08-10
Accepted
1989-12-11
Published
1991
Exact and natural sciences