On the Henstock-Kurzweil Integral For Riesz-Space-Valued Functions Defined on Euclidean Space and Some Convergence Theorems  

Oleh:

Ansori, Muslim ; Sumanto, Yosephus D.

Jenis: Article from Journal - ilmiah nasional - tidak terakreditasi DIKTI
Dalam koleksi: SIGMA: Jurnal Sains dan teknologi vol. 11 no. 1 (Jan. 2008), page 31-41.
Topik: Riesz Space; Henstock-Kurzweil Integral; Convergence Theorems

Ketersediaan

Perpustakaan Pusat (Semanggi) Nomor Panggil: SS25.6 Non-tandon: 1 (dapat dipinjam: 0) Tandon: tidak ada

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Isi artikel

We construct Henstock-Kurzwell integral for Riesz-space-valued functions defined on Eucidean space R^ by a technique involving double sequences and prove some basic properties among which the fact that our new integral coincides with the Henstock-Kurzweil integral for Banach-space-valued functions defined on the space R”. Further, some convergence theorems are built using this integral.

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