This analysis improves matrix transform means results in Lebesgue spaces, suggesting new generalizations.
In this paper, we improve, complement and generalize (from N\"orlund to matrix transform means) a result of M\'oricz and Siddiqi [26] and some statements of Areshidze and Tephnadze [3], and (from T (weighted) to matrix transform means) Anakidze et al. [2].
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Blahota et al. (2025) studied this question.
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