On the Pringsheim convergence of double series

Proceedings of the Estonian Academy of Sciences

Maria Zeltser¹  Balmohan V. Limaye¹ 

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关键词: summability theory;    double series;    convergence test;    Pringsheim convergence;    boundedly convergent;    regularly convergent;    Cauchy product;    matrix transformation;   

DOI  :  10.3176/proc.2009.2.03

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

Several aspects of the convergence of a double series in the sense of Pringsheim are considered in analogy with some well-known results for single series. They include various tests for absolute convergence and also criteria for convergence of the Cauchy product. Some errors in the works of earlier authors are corrected.

【 授权许可】

Unknown