文章基本信息

标题：ON THE CONVERGENCE THEOREMS OF THE McSHANE INTEGRAL FOR RIESZ-SPACES-VALUED FUNCTIONS DEFINED ON REAL LINE
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作者：Muslim Ansori ; Yosephus D. Sumanto ; Novi Rustiana Dewi 等
期刊名称：Pythagoras: Jurnal pendidikan Matematika
印刷版ISSN：1978-4538
电子版ISSN：2527-421X
出版年度：2007
卷号：3
期号：2
页码：15-25
DOI：10.21831/pg.v3i2.654
出版社：Universitas Negeri Yogyakarta
摘要：This paper is a partial result of our researchs in the main topic "On The McShane Integral for Riesz-Spaces-valued Functions Defined on the space ". We have constructed McShane integral for Riesz-spaces-valued functions defined on the space by a technique involving double sequences and proved some basic properties which coincides with the McShane Integral for Banach-spaces valued functions defined on real line. Further, we construct some convergence theorems involving uniformly convergence theorems, monotone convergence theorems and Fatou’s lemma in the sense of this integral.
关键词：Riesz Space;McShane Integral