Absolute Nörlund summability factors of power series and Fourier series

• Autorzy: Hüseyın Bor
• Języki publikacji: EN

Abstrakty

EN

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

Kategorie tematyczne

• 42A45: Multipliers
• 42A24: Summability and absolute summability of Fourier and trigonometric series
• 40G05: Ces\`aro, Euler, N\"orlund and Hausdorff methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991-1992
• Tom: 56
• Numer: 1
• Strony: 11-17

Daty

wydano

1991

otrzymano

1989-08-10

poprawiono

1989-12-11

Twórcy

autor

Hüseyın Bor

• Department of Mathematics, Erciyes University, Kayseri 38039, Turkey

Bibliografia

• [1] Z. U. Ahmad, Absolute Nörlund summability factors of power series and Fourier series, Ann. Polon. Math. 27 (1972), 9-20.
• [2] H. C. Chow, On the summability factors of Fourier series, J. London Math. Soc. 16 (1941), 215-220.
• [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.