Beberapa Teorema Kekonvergenan Integral Henstock Fungsi Bernilai di dalam Ruang = Barisan £p, (1 p < co) Some Convergence Theorems of the Henstock Integral of Function with Values in 1" -Space, (1 p < co)

This paper is the results of our research in studying the Henstock integral of functions defined on 93" with values in spaces, (1 p < co). Let a a volume on 93n, E c 93n be a cell, and R* (E, a) the collection of all Henstock a-integrable functions on E. if {fn c R (E, eP ,a) is convergent t...

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Bibliographic Details
Main Author: Perpustakaan UGM, i-lib
Format: Article NonPeerReviewed
Published: [Yogyakarta] : Universitas Gadjah Mada 2004
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Online Access:https://repository.ugm.ac.id/17605/
http://i-lib.ugm.ac.id/jurnal/download.php?dataId=364
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Institution: Universitas Gadjah Mada
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Summary:This paper is the results of our research in studying the Henstock integral of functions defined on 93" with values in spaces, (1 p < co). Let a a volume on 93n, E c 93n be a cell, and R* (E, a) the collection of all Henstock a-integrable functions on E. if {fn c R (E, eP ,a) is convergent to a function f on E, we _ * give some conditions in order that f E R (E, fP , a) . There are some convergence theorems for our integral, namely : uniformly convergence theorem, a-equiintegrable convergence theorem, and monotone convergence theorem. Keywords : Henstock Integral, convergence, I? -spaces, (1 p