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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika
Muslim Ansori
Mathematics Departement, Universitas Lampung
Education Mathematics

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ON THE CONVERGENCE THEOREMS OF THE McSHANE INTEGRAL FOR RIESZ-SPACES-VALUED FUNCTIONS DEFINED ON REAL LINE Muslim Ansori; Yosephus D. Sumanto; Novi Rustiana Dewi
PYTHAGORAS Jurnal Pendidikan Matematika Vol 3, No 2: Desember 2007
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (290.579 KB) | DOI: 10.21831/pg.v3i2.654

Abstract

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 Fatous lemma in the sense of this integral.Keywords : Riesz Space, McShane Integral
Co-Authors Novi Rustiana Dewi Y.D. Sumanto