The Multivariate Müntz-Szasz Problem in Weighted Banach Space on Rn
The purpose of this paper is to give an extension of Müntz-Szasz theorems to multivariable weighted Banach space. Denote by {λk=(λk1,λk2,...,λkn)}k=1∞ a sequence of real numbers in R+n. The completeness of monomials {tλk} in Cα is investigated, where Cα is the weighted Banach spaces which consist of...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/342826 |
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| author | Xiangdong Yang |
| author_facet | Xiangdong Yang |
| author_sort | Xiangdong Yang |
| collection | DOAJ |
| description | The purpose of this paper is to give an extension of Müntz-Szasz theorems to multivariable weighted Banach space. Denote by {λk=(λk1,λk2,...,λkn)}k=1∞ a sequence of real numbers in R+n. The completeness of monomials {tλk} in Cα is investigated, where Cα is the weighted Banach spaces which consist of complex continuous functions f defined on Rn with f(t) exp(-α(t)) vanishing at infinity in the uniform norm. |
| format | Article |
| id | doaj-art-be90095b750f405a812301d8372b5521 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-be90095b750f405a812301d8372b55212025-02-03T01:09:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/342826342826The Multivariate Müntz-Szasz Problem in Weighted Banach Space on RnXiangdong Yang0Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, ChinaThe purpose of this paper is to give an extension of Müntz-Szasz theorems to multivariable weighted Banach space. Denote by {λk=(λk1,λk2,...,λkn)}k=1∞ a sequence of real numbers in R+n. The completeness of monomials {tλk} in Cα is investigated, where Cα is the weighted Banach spaces which consist of complex continuous functions f defined on Rn with f(t) exp(-α(t)) vanishing at infinity in the uniform norm.http://dx.doi.org/10.1155/2014/342826 |
| spellingShingle | Xiangdong Yang The Multivariate Müntz-Szasz Problem in Weighted Banach Space on Rn Abstract and Applied Analysis |
| title | The Multivariate Müntz-Szasz Problem in Weighted Banach Space on Rn |
| title_full | The Multivariate Müntz-Szasz Problem in Weighted Banach Space on Rn |
| title_fullStr | The Multivariate Müntz-Szasz Problem in Weighted Banach Space on Rn |
| title_full_unstemmed | The Multivariate Müntz-Szasz Problem in Weighted Banach Space on Rn |
| title_short | The Multivariate Müntz-Szasz Problem in Weighted Banach Space on Rn |
| title_sort | multivariate muntz szasz problem in weighted banach space on rn |
| url | http://dx.doi.org/10.1155/2014/342826 |
| work_keys_str_mv | AT xiangdongyang themultivariatemuntzszaszprobleminweightedbanachspaceonrn AT xiangdongyang multivariatemuntzszaszprobleminweightedbanachspaceonrn |