论文标题

抗M-WeierStrass功能序列

Anti M-Weierstrass function sequences

论文作者

Calderón-Moreno, M. Carmen, Gerlach-Mena, Pablo J., Prado-Bassas, José A.

论文摘要

大型代数结构在连续函数序列的空间内在具有紧凑型间隔的序列的序列内,每个序列定义的序列在间隔上绝对均匀地收敛,但上限差异差异。因此,表明存在许多示例来满足结论,但没有Weierstrass m检验的假设。

Large algebraic structures are found inside the space of sequences of continuous functions on a compact interval having the property that, the series defined by each sequence converges absolutely and uniformly on the interval but the series of the upper bounds diverges. So showing that there exist many examples satisfying the conclusion but not the hypothesis of the Weierstrass M-test.

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