Abstract In this note, we obtain a Tauberian theorem for a class of regular lower triangular matrices operating on cosine series with coefficients tending to zero. As corollaries we obtain Tauberian theorems for weighted mean, Nörlund, and Hausdorff matrices.

中文翻译：

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关于具有广义有界变异系数的余弦级数的注记

摘要 在本笔记中，我们获得了一类在系数趋于零的余弦级数上运算的规则下三角矩阵的 Tauberian 定理。作为推论，我们获得了加权均值、Nörlund 和 Hausdorff 矩阵的 Tauberian 定理。