关于乘法系统和广义衍生数列的可积分性

IF 0.5 Q3 MATHEMATICS Russian Mathematics Pub Date : 2024-06-25 DOI:10.3103/s1066369x24700142

N. Yu. Agafonova, S. S. Volosivets

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引用次数: 0

摘要

摘要我们给出了关于乘法系统和相应傅里叶级数的广义导数级数和收敛的一些必要条件和充分条件。这些条件与 S. Sheng、W.O. Bray 和 Č.V. Stanojević 的三角函数结果相对应，并扩展了 F. Móricz 为沃尔什-傅里叶级数证明的一些结果。

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Integrability of Series with Respect to Multiplicative Systems and Generalized Derivatives

Abstract

We give some necessary and sufficient conditiosn for the convergence of generalized derivatives of sums of series with respect to multiplicative systems and the corresponding Fourier series. These conditions are counterparts of trigonometric results of S. Sheng, W.O. Bray, and Č.V. Stanojević and extend some results of F. Móricz proved for Walsh–Fourier series.

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来源期刊

Russian Mathematics MATHEMATICS-

CiteScore

0.90

自引率

25.00%

发文量

期刊介绍： Russian Mathematics is a peer reviewed periodical that encompasses the most significant research in both pure and applied mathematics.