LOCALLY SMALL RIEMANN SUMS FUNGSI TERINTEGRAL HENSTOCK-DUNFORD PADA RUANG EUCLIDE R^n
DOI:
https://doi.org/10.31941/delta.v1i2.486Keywords:
Henstock-Dunford integral, Locally small Riemann sumsAbstract
In this paper we study Henstock-Dunford integral on the Euclidean space R^n . We discuss some properties of the integrable. We shall define locally small Riemann sums (LSRS) and show that it is necessary and sufficient condition for function to be Henstock-Dunford integral on the Euclidean space R^n.
References
Boccuto, A., Skvortsov, A.V., 2004, Henstock-Kurzweil Type Integration of Riesz-Space-Valued Functions and Applications to Walsh Series, Real Analysis Echange, 29(1): 419-439.
Gordon, R.A., 1994, The Integral of lebesgue, Denjoy, Perron, and Henstock, USA: Mathematical Society.
Guoju, Ye., Tianqing, An., 2001, On Henstock-Dunford and Henstock-Pettis Integrals, IJMMS, 25(7): 467-478.
Heikkila, S., 2011, Monotone Convergence Theorems for Henstock-Kurzweil Integrable Functions and Applications, Journal of Mathematical Analysis and Applications, 377(1): 286-295.
Indrati, Ch. R., 2002, Integral Henstock-Kurzweil di dalam Ruang Euclide Berdimensi-n, Disertasi, Ypgyakarta: Universitas Gadjah Mada.
Indrati, Ch.R., Surodjo, Budi., 2000, Aplikasi Integral Henstock-Kurzweil pada Medan Vektor, Yogyakarta: Lembaga Penelitian UGM.
Lee P.Y., 1989, Lanzhou Lectures on Henstock Integration, Singapore: World Scientific.
Saifullah, 2003, Integral Henstock-Dunford pada Ruang Euclide n , Tesis, Yogyakarta: Universitas Gadjah Mada.
Schwabik, S., Guoju, Ye., 2004, Topics in Banach Space Integration, Manuscrip in Preparation.
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