Abstract

Sums of double sine and cosine series with multiply monotone coefficients are studied. Sufficient conditions for such sums to belong to Orlich’s weighted classes are obtained.

中文翻译：

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具有乘法单调系数的双三角级数和的性质

摘要

研究了具有多个单调系数的双正弦和余弦级数的和。获得了使这些和属于Orlich加权类别的充分条件。