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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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 |
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 |
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