Suatu Ukuran Bernilai C[a,b]
Main Article Content
Abstract
Dalam paper ini dikonstruksi suatu ukuran bernilai , dimana adalah koleksi semua fungsi kontinu bernilai real yang terdefinisi pada selang tertutup dan terbatas . Dalam mengkonstruksi ukuran bernilai tersebut, terlebih dahulu dikonstruksi ukuran luar bernilai . Kemudian membangkitkan ukuran melalui ukuran luar tersebut. Beberapa sifat sederhana yang berkaitan dengan ukuran bernilai juga akan dibahas dalam paper ini.
Article Details
How to Cite
UBAIDILLAH, Firdaus.
Suatu Ukuran Bernilai C[a,b].
Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami), [S.l.], v. 1, n. 1, p. 476-484, july 2017.
Available at: <http://conferences.uin-malang.ac.id/index.php/SIMANIS/article/view/170>. Date accessed: 01 apr. 2023.
Issue
Section
Mathematics
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Copyright Notice
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
References
[1] Bartle, R.G., The Elements of Integration and Lebesgue Measure. John Wiley & Sons, New York; 1995.
[2] Boccuto, A., Riecan, B. and Vrabelova, M., Kurzweil-Henstock Integral in Riesz Spaces. Bentham Books; 2009.
[3] Ghoussoub, N., Riesz Spaces Valued Measures and Processes, Bull. Soc. Math. France, 1982. (110), hal. 233257
[4] Royden, H.L. and Fitzpatrick, P.M., Real Analysis, Fourth Edition, Pearson Education Asia Limited and China Machine Press; 2010.
[5] Ubaidillah, F., Darmawijaya, S., dan Rini, Ch. I., C[a,b]-Valued Measure and Some of Its Properties Proc. Int. Conf. on Research, Imp. and Edu. of Math. and Sci., Yogyakarta State University; 2014. hal. M21-M26
[6] Ubaidillah, F., Darmawijaya, S., dan Rini, Ch. I., On the Henstock-Kurzweil Integral of C[a; b] Space-valued Functions, Int. J. Math. An. 2015. 9 (37) hal. 1831 – 1846
[7] Wright, J.D.M., Measures with Values in a Partially Ordered Vector Space, Proc. London Math. Soc; 1972. 25 hal. 675- 688
[2] Boccuto, A., Riecan, B. and Vrabelova, M., Kurzweil-Henstock Integral in Riesz Spaces. Bentham Books; 2009.
[3] Ghoussoub, N., Riesz Spaces Valued Measures and Processes, Bull. Soc. Math. France, 1982. (110), hal. 233257
[4] Royden, H.L. and Fitzpatrick, P.M., Real Analysis, Fourth Edition, Pearson Education Asia Limited and China Machine Press; 2010.
[5] Ubaidillah, F., Darmawijaya, S., dan Rini, Ch. I., C[a,b]-Valued Measure and Some of Its Properties Proc. Int. Conf. on Research, Imp. and Edu. of Math. and Sci., Yogyakarta State University; 2014. hal. M21-M26
[6] Ubaidillah, F., Darmawijaya, S., dan Rini, Ch. I., On the Henstock-Kurzweil Integral of C[a; b] Space-valued Functions, Int. J. Math. An. 2015. 9 (37) hal. 1831 – 1846
[7] Wright, J.D.M., Measures with Values in a Partially Ordered Vector Space, Proc. London Math. Soc; 1972. 25 hal. 675- 688