# SIFAT-SIFAT INTEGRAL RIEMANN-STIELTJES

• Francis Y. Rumlawang Jurusan Matematika FMIPA Universitas Pattimura
• Harimanus Batkunde Jurusan Matematika FMIPA Universitas Pattimura
Keywords: Rieman-Stieltjes, Riemann-Stieltjes Integral

### Abstract

If is limited and []â„œâ†’baf,:[]â„œâ†’ba,:Î± Monotone increase in [, is Riemann-Stieltjes integral able to Î± on ] ba,[]ba, simply written by[]Î±RSfâˆˆ if . With JI=()()xdxfIbaÎ±âˆ«= is called Riemann Stieltjes lower integral f to Î± and ()()xdxfJbaÎ±âˆ«= is called Riemann Stieltjes upper integral f to Î±. Then is called Riemann Stieltjes upper integral f to ()()âˆ«==baxdxfJIÎ±Î± on [. if f ang g is Riemann Stieltjes integralable, and, k oe âˆš then f + g, kf, and fg is also Riemann Stieltjes integralable. But if f and ] ba,Î± have united discontinue point then f is not Riemann Stieltjes integralable on Î±

### References

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Published
2007-12-01
How to Cite
[1]
F. Rumlawang and H. Batkunde, “SIFAT-SIFAT INTEGRAL RIEMANN-STIELTJES”, BAREKENG: J. Il. Mat. & Ter., vol. 1, no. 2, pp. 25-30, Dec. 2007.
Section
Articles