Browsing by Author "DARMAWIJAYA, Soeparna"
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C[a,b]-Valued Measure and Some of its Properties
UBAIDILLAH, Firdaus; DARMAWIJAYA, Soeparna; INDRATI, Ch. Rini (Faculty of Mathematics and Natural Sciences Yogyakarta State University, 2014-05-18)Let 𝐶[𝑎, 𝑏] be the set of all real-valued continuous functions defined on a closed interval [𝑎, 𝑏]. It is a commutative Riesz algebra space with unit element 𝑒, where 𝑒(𝑥) = 1 for every 𝑥 ∈ [𝑎, 𝑏]. As in the ... -
On the Henstock-Kurzweil Integral of C [a; b] Space-valued Functions
UBAIDILLAH, Firdaus; DARMAWIJAYA, Soeparna; INDRATI, Ch. Rini (International Journal of Mathematical Analysis Vol. 9, 2015, no. 37, 1831 - 1846, 2015-09-01)There have been many contributions to the study of integration for mappings, taking values in ordered spaces. Among the authors, we quote Rie˘can [8], Duchon and Rie˘can [5], Rie˘can and Vr´abelov´a [9]. Henstock-Kurzw ...