Geodesic
On the Behaviour of a Series Associated with the Conjugate Series of a Fourier Series
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 535-551

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

1.1. Definition. Let λ ≡ λ(ω) be continuous, differentiable, and monotonic increasing in (0, ∞) and let it tend to infinity as ω → ∞. Suppose that ∑ an (we write ∑ for throughout the present paper) is a given infinite series and let The series ∑ an is said to be summable |R, λ, r|, where r > 0, if where A is a fixed positive number (6, Definition B). Now, for r > 0, m < ω < m + 1, Hence, ∑ an is summable |R, λ, r|, where r > 0, if 
Mohanty, R.; Ray, B. K. On the Behaviour of a Series Associated with the Conjugate Series of a Fourier Series. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 535-551. doi: 10.4153/CJM-1969-061-x
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