The Multiple K-Riemann Integral
The aim of this paper is to extend the notion of K-Riemann integrability of functions defined over a,b to functions defined over a rectangular box of ℝn. As a generalization of step functions, we introduce a notion of K-step functions which allows us to give an equivalent definition of the K-Riemann...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2021/6690328 |
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| _version_ | 1832552509574479872 |
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| author | Oussama Kabbouch Mustapha Najmeddine |
| author_facet | Oussama Kabbouch Mustapha Najmeddine |
| author_sort | Oussama Kabbouch |
| collection | DOAJ |
| description | The aim of this paper is to extend the notion of K-Riemann integrability of functions defined over a,b to functions defined over a rectangular box of ℝn. As a generalization of step functions, we introduce a notion of K-step functions which allows us to give an equivalent definition of the K-Riemann integrable functions. |
| format | Article |
| id | doaj-art-7636d05508bc4a7e964dc0acdb5562ec |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7636d05508bc4a7e964dc0acdb5562ec2025-02-03T05:58:31ZengWileyAbstract and Applied Analysis1085-33751687-04092021-01-01202110.1155/2021/66903286690328The Multiple K-Riemann IntegralOussama Kabbouch0Mustapha Najmeddine1Department of Mathematics, E.N.S.A.M, Moulay Ismaïl University, B.P: 15290 Al Mansour, Meknès, MoroccoDepartment of Mathematics, E.N.S.A.M, Moulay Ismaïl University, B.P: 15290 Al Mansour, Meknès, MoroccoThe aim of this paper is to extend the notion of K-Riemann integrability of functions defined over a,b to functions defined over a rectangular box of ℝn. As a generalization of step functions, we introduce a notion of K-step functions which allows us to give an equivalent definition of the K-Riemann integrable functions.http://dx.doi.org/10.1155/2021/6690328 |
| spellingShingle | Oussama Kabbouch Mustapha Najmeddine The Multiple K-Riemann Integral Abstract and Applied Analysis |
| title | The Multiple K-Riemann Integral |
| title_full | The Multiple K-Riemann Integral |
| title_fullStr | The Multiple K-Riemann Integral |
| title_full_unstemmed | The Multiple K-Riemann Integral |
| title_short | The Multiple K-Riemann Integral |
| title_sort | multiple k riemann integral |
| url | http://dx.doi.org/10.1155/2021/6690328 |
| work_keys_str_mv | AT oussamakabbouch themultiplekriemannintegral AT mustaphanajmeddine themultiplekriemannintegral AT oussamakabbouch multiplekriemannintegral AT mustaphanajmeddine multiplekriemannintegral |