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 []ℜ→baf,:[]ℜ→ba,:α Monotone increase in [, is Riemann-Stieltjes integral able to α on ] ba,[]ba, simply written by[]αRSf∈ if . With JI=()()xdxfIbaα∫= is called Riemann Stieltjes lower integral f to α and ()()xdxfJbaα∫= is called Riemann Stieltjes upper integral f to α. Then is called Riemann Stieltjes upper integral f to ()()∫==baxdxfJIαα on [. if f ang g is Riemann Stieltjes integralable, and, k oe √ then f + g, kf, and fg is also Riemann Stieltjes integralable. But if f and ] ba,α have united discontinue point then f is not Riemann Stieltjes integralable on α

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References

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Published
2018-01-20
How to Cite
[1]
F. Rumlawang and H. Batkunde, “SIFAT-SIFAT INTEGRAL RIEMANN-STIELTJES”, BAREKENG, vol. 1, no. 2, pp. 25-30, Jan. 2018.

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