Kekonvergenan Barisan Fungsi Terintegral Riemann  

Oleh:

Suryawan, Herry Pribawanto

Jenis: Article from Journal - ilmiah nasional - tidak terakreditasi DIKTI
Dalam koleksi: SIGMA: Jurnal Sains dan teknologi vol. 9 no. 2 (Jul. 2006), page 135-144.
Topik: INTEGRAL; riemann integral; pointwise convegence; uniform convergence; uniformly bounded

Ketersediaan

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

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Isi artikel

Let (f(n)) be a sequence of real valued functions converging pointwise to a function f on a closed and bounded interval [a,b] and suppose that each of the functions f(n) is riemann integrable on [a,b]. It doesn't always follow that the limit function f is riemann integrable on [a,b]. Even if f is riemann integrable on [a,b], the equation [f = lim [f may not hold. The aim of this paper is to find further conditions on the sequence (f(n) such that the limit fucntion f is riemann integrable and the equation [f = lim [f holds.

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