Absolute Nörlund summability factors of power series and Fourier series

Hüseyın Bor

Annales Polonici Mathematici (1991)

  • Volume: 56, Issue: 1, page 11-17
  • ISSN: 0066-2216

Abstract

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

How to cite

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Hüseyın Bor. "Absolute Nörlund summability factors of power series and Fourier series." Annales Polonici Mathematici 56.1 (1991): 11-17. <http://eudml.org/doc/262491>.

@article{HüseyınBor1991,
abstract = {Four theorems of Ahmad [1] on absolute Nörlund summability factors of power series and Fourier series are proved under weaker conditions.},
author = {Hüseyın Bor},
journal = {Annales Polonici Mathematici},
keywords = {Nörlund method},
language = {eng},
number = {1},
pages = {11-17},
title = {Absolute Nörlund summability factors of power series and Fourier series},
url = {http://eudml.org/doc/262491},
volume = {56},
year = {1991},
}

TY - JOUR
AU - Hüseyın Bor
TI - Absolute Nörlund summability factors of power series and Fourier series
JO - Annales Polonici Mathematici
PY - 1991
VL - 56
IS - 1
SP - 11
EP - 17
AB - Four theorems of Ahmad [1] on absolute Nörlund summability factors of power series and Fourier series are proved under weaker conditions.
LA - eng
KW - Nörlund method
UR - http://eudml.org/doc/262491
ER -

References

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  1. [1] Z. U. Ahmad, Absolute Nörlund summability factors of power series and Fourier series, Ann. Polon. Math. 27 (1972), 9-20. Zbl0219.42010
  2. [2] H. C. Chow, On the summability factors of Fourier series, J. London Math. Soc. 16 (1941), 215-220. Zbl67.1008.02
  3. [3] M. Fekete, Zur Theorie der divergenten Reihen, Math. és Termes Ersitö (Budapest) 29 (1911), 719-726. Zbl42.0294.05
  4. [4] N. Kishore, On the absolute Nörlund summability factors, Riv. Mat. Univ. Parma (2) 6 (1965), 129-134. Zbl0178.05702
  5. [5] E. Kogbetliantz, Sur les séries absolument sommables par la méthode des moyennes arithmétiques, Bull. Sci. Math. 49 (1925), 234-256. Zbl51.0182.01
  6. [6] F. M. Mears, Some multiplication theorems for the Nörlund mean, Bull. Amer. Math. Soc. 41 (1935), 875-880. Zbl0013.26104
  7. [7] K. N. Mishra, On the absolute Nörlund summability factors of infinite series, Indian J. Pure Appl. Math. 14 (1983), 40-43. Zbl0525.40006
  8. [8] T. Pati, Absolute Cesàro summability factors of infinite series, Math. Z. 78 (1962), 293-297. Zbl0104.27804
  9. [9] C. T. Rajagopal, On | C , 1 | summability factors of power series and Fourier series, Math. Z. 80 (1963), 265-268. Zbl0144.06406

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