Strong Convergence Theorem for Vilenkin–Fourier Series☆
By Peter L. Simon. 2000
46 citations recorded by the source corpus.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/6091319b5615cf639c2073cf97be459df8aac450
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In Applied Mathematics
Citations in the corpus
- On the partial sums of Vilenkin-Fourier series (2014, background): “1 In Gát [5] the following strong convergence result was obtained for all f ∈ H1 (Gm) : lim n→∞ 1 log n n∑ k=1 ‖Skf − f‖1 k = 0, where Skf denotes the k-th partial sum of the Vilenkin-Fourier series of f. (For the trigonometric analogue see Smith [16], for the Walsh system see Simon [14]).”