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PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Document Type

Article

Abstract

This paper discusses about the generalization of the Henstock-Stieltjes integral for vector-valued functions which are defined on a closed interval [a,b]Š‚R. The generalization has been done up to the existance of this integral.

Key words: Henstock-Stieltjes integral, vector-valued function and bounded function.

Page Range

45-56

Issue

2

Volume

5

Digital Object Identifier (DOI)

10.21831/pg.v5i2.544

Source

https://journal.uny.ac.id/index.php/pythagoras/article/view/544

References

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Mathematical Society.
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Disertasi. Yogyakarta: Universitas Gadjah Mada.
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Kyungki Mathematics Journal, 6: 87-96.

Ostaszweski, K.M. 1986. Henstock Integration in the Plane. Memoirs of AMS 67.

Lee, P.Y. 1989. Lanzhou Lectures on Henstock Integration.World Scientific.

Lee, P.Y. 1996. The Radon Nikodym Theorem for the Henstock Integral in Euclidean Space. Real Analysis Exchange, 22: 677-687.

Lee, P.Y. & Vyborny, R. 2000. Integral: An Easy Approach after Kurzweil and Henstock. New York: Cambridge University Press.

Hanung, U.M. & Darmawijaya, S. 2005. Integral Henstock-Stieltjes. Prosiding Seminar Nasional, FMIPA Universitas Gadjah Mada, Yogyakarta.

Hanung, U.M. 2007. Some Convergence Theorems for the Henstock-Stieltjes Integral.

Proceeding of the 5th SEAMS-GMU International Conference on Mathematics and Its Applications, FMIPA-Gadjah Mada University, Yogyakarta, Indonesia, 24th - 27th July 2007.

Pfeffer, W. F. 1993. The Riemann Approach to Integration. New York: Cambridge University Press.

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