Approximation by N\"orlund means with respect to Vilenkin system in Lebesgue spaces
Abstract
In this paper we improve and complement a result by M\'oricz and Siddiqi Mor. In particular, we prove that their estimate of the N\"orlund means with respect to the Vilenkin system holds also without their additional condition. Moreover, we prove a similar approximation result in Lebesgue spaces for any 1≤ p<∞.
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