BEBERAPA TEOREMA KEKONVERGENAN PADA INTEGRAL RIEMANN
Riemann Integral is integral concept using the sum of lower Riemann and upper Riemann. The sufficient condition for the function sequence which is R-integralable at ï›a, bï is the limit function also R-integralable at ï›a, bï. If function sequence ï» ï½ n f convergence to f at ï›a, bï and n f R-inte...
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| Format: | Article |
| Language: | English |
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Universitas Pattimura
2012-03-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/199 |
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| author | Venn Y. I. Ilwaru Henry J. Wattimanela Mozart W. Talakua |
| author_facet | Venn Y. I. Ilwaru Henry J. Wattimanela Mozart W. Talakua |
| author_sort | Venn Y. I. Ilwaru |
| collection | DOAJ |
| description | Riemann Integral is integral concept using the sum of lower Riemann and upper Riemann. The sufficient condition for the function sequence which is R-integralable at ï›a, bï is the
limit function also R-integralable at ï›a, bï. If function sequence ï» ï½ n f convergence to f at ï›a, bï and n f R-integralable for every n, then the sufficient condition that function f also
R-integralable at ï›a, bï is ï» ï½ n f uniform convergence to f at ï›a, bï. This research studies about sum convergence theorems in Riemann Integral. |
| format | Article |
| id | doaj-art-fe08d7d02e5e4c79993adc630802f983 |
| institution | DOAJ |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2012-03-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-fe08d7d02e5e4c79993adc630802f9832025-08-20T03:05:42ZengUniversitas PattimuraBarekeng1978-72272615-30172012-03-0161131810.30598/barekengvol6iss1pp13-18199BEBERAPA TEOREMA KEKONVERGENAN PADA INTEGRAL RIEMANNVenn Y. I. Ilwaru0Henry J. Wattimanela1Mozart W. Talakua2Jurusan Matematika FMIPA Universitas PattimuraJurusan Matematika FMIPA Universitas PattimuraJurusan Matematika FMIPA Universitas PattimuraRiemann Integral is integral concept using the sum of lower Riemann and upper Riemann. The sufficient condition for the function sequence which is R-integralable at ï›a, bï is the limit function also R-integralable at ï›a, bï. If function sequence ï» ï½ n f convergence to f at ï›a, bï and n f R-integralable for every n, then the sufficient condition that function f also R-integralable at ï›a, bï is ï» ï½ n f uniform convergence to f at ï›a, bï. This research studies about sum convergence theorems in Riemann Integral.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/199riemann integral, convergence, uniform convergence, sufficient condition |
| spellingShingle | Venn Y. I. Ilwaru Henry J. Wattimanela Mozart W. Talakua BEBERAPA TEOREMA KEKONVERGENAN PADA INTEGRAL RIEMANN Barekeng riemann integral, convergence, uniform convergence, sufficient condition |
| title | BEBERAPA TEOREMA KEKONVERGENAN PADA INTEGRAL RIEMANN |
| title_full | BEBERAPA TEOREMA KEKONVERGENAN PADA INTEGRAL RIEMANN |
| title_fullStr | BEBERAPA TEOREMA KEKONVERGENAN PADA INTEGRAL RIEMANN |
| title_full_unstemmed | BEBERAPA TEOREMA KEKONVERGENAN PADA INTEGRAL RIEMANN |
| title_short | BEBERAPA TEOREMA KEKONVERGENAN PADA INTEGRAL RIEMANN |
| title_sort | beberapa teorema kekonvergenan pada integral riemann |
| topic | riemann integral, convergence, uniform convergence, sufficient condition |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/199 |
| work_keys_str_mv | AT vennyiilwaru beberapateoremakekonvergenanpadaintegralriemann AT henryjwattimanela beberapateoremakekonvergenanpadaintegralriemann AT mozartwtalakua beberapateoremakekonvergenanpadaintegralriemann |