Open AccessSIFAT-SIFAT INTEGRAL RIEMANN-STIELTJES
Author(s) -
Francis Yunito Rumlawang,
Harimanus Batkunde
Publication year - 2007
Publication title -
barekeng
Language(s) - English
Resource type - Journals
eISSN - 2615-3017
pISSN - 1978-7227
DOI - 10.30598/barekengvol1iss2pp25-30
Subject(s) - riemann–stieltjes integral , riemann integral , riemann hypothesis , mathematics , mathematical analysis , monotone polygon , pure mathematics , integral equation , geometry , singular integral
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