SIFAT-SIFAT DASAR PERLUASAN INTEGRAL LEBESGUE
Keywords:
Measure Space, Lebesgue Measure, Lebesgue Integral, Sifat-sifat Dasar EL-Integral.
Abstract
EL-Integral is extended of Lebesgue integral, 1 k b EL f d L f d . Lebesgue integral is defined with early arrange measure theory that famous with Lebesgue measure. A function f :ï›a,bï is said EL-integrable on ï›a,bï , if there exist series interval that no piled up ï» ï½ k I in ï›a,bï so that ï€¨ï› , ï  0 k ï a b ï€ I  ,   k f L I for every k and 1 Ik
A L f dï finite. Value A is called value of EL Integral function f on ï›a,bï . Extended of Lebesgue integral (EL-Integral) is notated by :  kbE a k I EL f dï f dï L f dï
ï‚¥

     .
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References
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Wheeden, R, L and Zygmund, A., (1977), Measure and Integral; An Introduction to real Analysis., Marcel Dekker. Inc., New York.
Gordon, R, A., (1994), The Integrals Of Lebesgue, Denjoy, Perron, and Henstock., Graduate Studies In Mathematics 4, Volume 4., American Mathematical Society.,USA.
Hutahaean, E., (1989), Analisis Real II, Penerbit Karunika, Universitas Terbuka, Jakarta.
Jain, P. K. and Gupta, V. P., (1986), Lebesgue Measure and Integration. Wiley Eastern Limited, New Delhi.
Royden, H, L., (1989), Real Analysis, Third Edition, Macmillan Publishing Company, New York.
Rudin, W., (1976), Principles Of Mathematical Analysis, Third Edition, Mc Graw-Hill Book Company., Ltd, Singapore.
Soeparna, D., (1999), An Extension of General Lebesgue Integral, Proceeding of the SEAMS-Gadjah Mada Univercity Conference, Yogyakarta.
Wheeden, R, L and Zygmund, A., (1977), Measure and Integral; An Introduction to real Analysis., Marcel Dekker. Inc., New York.
Published
2012-12-01
How to Cite
[1]
Y. Lesnussa, H. Wattimanela, and M. Talakua, “SIFAT-SIFAT DASAR PERLUASAN INTEGRAL LEBESGUE”, BAREKENG: J. Math. & App., vol. 6, no. 2, pp. 37-44, Dec. 2012.
Section
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