Sifat-sifat Sederhana Integral Denjoy Khusus di Dalam R(n)  

Oleh:

Sugimin ; Darmawijaya, Soeparna ; Indrati, Ch. Rini

Jenis: Article from Journal - ilmiah nasional - tidak terakreditasi DIKTI
Dalam koleksi: SIGMA: Jurnal Sains dan teknologi vol. 9 no. 2 (Jul. 2006), page 125-133.
Topik: INTEGRAL; special denjoy integral; real line; euclidean space R (n)

Ketersediaan

Perpustakaan Pusat (Semanggi) Nomor Panggil: SS25.5 Non-tandon: 1 (dapat dipinjam: 0) Tandon: tidak ada

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Isi artikel

A function f is said to be lebesgue integrable on [a,b] c R if and only if there is a function F which is absolutely continuous on [a,b] such that its derivative F'(x) = f (x) almost everywhere on [a,b]. Denjoy defined his special denjoy integral by a method of extension of the lebesgue integral, i.e. a function f is said to be special denjoy integrable n [a,b] if there is a function F which is continuous and ACG' on [a,b] such that its derivative F'(x) = f(x) almost everywhere n [a,b]. This study was intended to generalize the special denjoy integral in the real line to the euclidean space R (n). The generalization was done to the definitions and properties of the special denjoy integral. This study was based on the interval function on I (E), the collection of all interval subsets of a cell E c R(n). In doing such a generalization, we always maintained that the definitions and properties in the real line were kept as their special case.

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