Geodesic
On the Absolute Nörlund Summability of a Fourier Series
Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 599-602

Voir la notice de l'article provenant de la source Cambridge University Press

Let be a given infinite series and {sn} the sequence of its partial sums. Let {pn} be a sequence of constants, real or complex, and let us write (1.1) If (1.2) as n→∞, we say that the series is summable by the Nörlund method (N,pn) to σ. The series is said to be absolutely summable (N,pn) or summable |N,pn| if σn is of bounded variation, i.e., (1.3) 
Goel, D. S.; Sahney, B. N. On the Absolute Nörlund Summability of a Fourier Series. Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 599-602. doi: 10.4153/CMB-1973-099-0
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[1] 1. Alexits, G., Convergence problems of orthogonal series, Pergamon Press, New York, 1961. Google Scholar

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[3] 3. Hsiang, F. C., On the absolute Nörlund summability of a Fourier series, J. Austral. Math. Soc. 7 (1967), 252–256. Google Scholar

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