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On the Behaviour of a Series Associated with the Conjugate Series of a Fourier Series
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 ∑ a n (we write ∑ for throughout the present paper) is a given infinite series and let The series ∑ …