Approximation by Nörlund means with respect to Walsh system in Lebesgue spaces

Author: Nika Areshidze
Keywords: Walsh group, Walsh system, Fejér means, Nörlund means, approximation.
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The talk is devoted to presenting some new methods to prove a similar estimate of Nörlund means with respect to the Walsh system but without any condition considered in the paper of Móricz and Siddiqi [1]. In particular, we prove approximation results for Nörlund means generated by non-decreasing sequence in Lebesgue spaces for some 1 ≤ p < ∞.