Some new results and inequalities for subsequences of Nörlund logarithmic means of Walsh–Fourier series
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https://hdl.handle.net/10037/26597Date
2022-03-07Type
Journal articleTidsskriftartikkel
Peer reviewed
Abstract
We prove that there exists a martingale f ∈ Hp such that the subsequence {L2np to the space weak – Lp for 0 < p < 1. We also prove
that for any f ∈ Lp, p ≥ 1, L2n f converge to f at any Lebesgue point x. Moreover, some
new related inequalities are derived.
Publisher
SpringerCitation
Baramidze, Persson, Singh, Tephnadze. Some new results and inequalities for subsequences of Nörlund logarithmic means of Walsh–Fourier series. Journal of Inequalities and Applications. 30(2022)Metadata
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