摘要
研究了二重级数和累次级数收敛问题,提出了二重级数与累次级数收敛的判别法并给出了证明,在此基础上研究了二者之间的关系,丰富了级数基本理论.
Convergence of series is an important issue in mathematical analysis. In this paper, the convergence of double series and iterated series were studied, explore the relationship between the two, and propose the criterion of each one as well as proofs. This study enriched the basic content of series.
出处
《河南科学》
2011年第12期1387-1397,共11页
Henan Science
基金
国家自然基金项目资助(60775018)
北京市精品课程建设项目
学校重点教改项目
关键词
二重级数
累次级数
判别法
double series
iterated series
criterion of convergence