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arXiv 2305.09040math.CA
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双正弦级数具有p有界变差系数时一致收敛的一个充分条件

A sufficient condition for uniform convergence of double sine series with p-bounded variation coefficients

Mateusz Kubiak, Bogdan Szal

AI总结:

本文引入DGM (p, alpha, beta, gamma, r)双重序列类,推广了Szal和Duzinkiewicz的类别,并给出了系数属于此类时双正弦级数一致收敛的充分条件。

摘要:

本文引入了一类新的双重序列,称为DGM (p, alpha, beta, gamma, r),它是Szal和Duzinkiewicz所考虑类别的推广。此外,我们在本文中获得了系数属于此类时双正弦级数一致收敛的一个充分条件。

英文摘要:

In the present paper we will introduce a new class of double sequences called DGM (p, alpha, beta, gamma, r), which is the generalization of a class considered by Szal and Duzinkiewicz. Moreover, we obtained in this note a sufficient condition for the uniform convergence of double sine series with coefficients belonging to this class.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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