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一般Henstock积分的支配收敛定理
The Controlled Convergence Theorem for the General Henstock Integral
【摘要】 本文给出划分空间上一般Henstock积分,最一般形式支配收敛定理、推进和概括这一方面的结论.
【Abstract】 Some generalied convergence theorems have been proved for the Henstock integral on the real line. In particular, the controlled convergence theorem has been proved independently by Djvarsheishvili (1951) and Lee and Chew (1985). It has also been extended to higher dimensions. In this paper, we prove it for the general Henstock integral, or in the language of Henstock, the division space.
【关键词】 一般Henstock积分;
支配收敛定理;
划分空间;
【Key words】 Henstock integrals; division spaces; controlled convergence;
【Key words】 Henstock integrals; division spaces; controlled convergence;
- 【文献出处】 数学学报 ,Acta Mathematica Sinica , 编辑部邮箱 ,1994年04期
- 【分类号】O175
- 【被引频次】7
- 【下载频次】71