C[a,b]-Valued Measure and Some of its Properties

Proceeding of International Conference On Research, Implementation And Education Of Mathematics And Sciences 2014, Yogyakarta State University, 18-20 May 2014

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Bibliographic Details
Main Authors: UBAIDILLAH, Firdaus (Author), DARMAWIJAYA, Soeparna (Author), INDRATI, Ch. Rini (Author)
Format: Academic Paper
Published: Faculty of Mathematics and Natural Sciences Yogyakarta State University, 2020-10-09T07:21:11Z.
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700 1 0 |a DARMAWIJAYA, Soeparna  |e author 
700 1 0 |a INDRATI, Ch. Rini  |e author 
245 0 0 |a C[a,b]-Valued Measure and Some of its Properties 
260 |b Faculty of Mathematics and Natural Sciences Yogyakarta State University,   |c 2020-10-09T07:21:11Z. 
520 |a Proceeding of International Conference On Research, Implementation And Education Of Mathematics And Sciences 2014, Yogyakarta State University, 18-20 May 2014 
520 |a Let [, ] be the set of all real-valued continuous functions defined on a closed interval [, ]. It is a commutative Riesz algebra space with unit element , where () = 1 for every ∈ [, ]. As in the real numbers system ℝ, we define ̅[, ] of the extended of [, ]. In this paper, we shall generalize the notions of outer measure, measure, measurable sets and measurable functions from [, ] into ̅[, ]. This paper is a part of our study in Henstock-Kurzweil integral of functions define on a closed interval [, ] ⊂ [, ] which values in ̅[, ]. 
546 |a en 
690 |a outer measure 
690 |a measure 
690 |a measurable set 
690 |a measurable function 
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856 4 1 |u http://repository.unej.ac.id/handle/123456789/101114  |z Get Fulltext