Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral
We provide a new definition for reproducing kernel space with weighted integral and present a method to construct and calculate the reproducing kernel for the space. The new reproducing kernel space is an enlarged reproducing kernel space, which contains the traditional reproducing kernel space. The...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/175292 |
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| _version_ | 1849685760679084032 |
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| author | Er Gao Songhe Song Xinjian Zhang |
| author_facet | Er Gao Songhe Song Xinjian Zhang |
| author_sort | Er Gao |
| collection | DOAJ |
| description | We provide a new definition for reproducing kernel space with weighted integral and present a method to construct and calculate the reproducing kernel for the space. The new reproducing kernel space is an enlarged reproducing kernel space, which contains the traditional reproducing kernel space. The proposed method of this paper is a universal method and is suitable for the case of that the weight is variable. Obviously, this new method will generalize a number of applications of reproducing kernel theory to many areas. |
| format | Article |
| id | doaj-art-be5f63d14a014f09b36fe9c300a85b8e |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-be5f63d14a014f09b36fe9c300a85b8e2025-08-20T03:22:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/175292175292Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted IntegralEr Gao0Songhe Song1Xinjian Zhang2Department of Mathematics and Systems Science, College of Science, National University of Defense Technology, Changsha 410073, ChinaDepartment of Mathematics and Systems Science, College of Science, National University of Defense Technology, Changsha 410073, ChinaDepartment of Mathematics and Systems Science, College of Science, National University of Defense Technology, Changsha 410073, ChinaWe provide a new definition for reproducing kernel space with weighted integral and present a method to construct and calculate the reproducing kernel for the space. The new reproducing kernel space is an enlarged reproducing kernel space, which contains the traditional reproducing kernel space. The proposed method of this paper is a universal method and is suitable for the case of that the weight is variable. Obviously, this new method will generalize a number of applications of reproducing kernel theory to many areas.http://dx.doi.org/10.1155/2012/175292 |
| spellingShingle | Er Gao Songhe Song Xinjian Zhang Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral Journal of Applied Mathematics |
| title | Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral |
| title_full | Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral |
| title_fullStr | Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral |
| title_full_unstemmed | Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral |
| title_short | Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral |
| title_sort | calculation of the reproducing kernel on the reproducing kernel space with weighted integral |
| url | http://dx.doi.org/10.1155/2012/175292 |
| work_keys_str_mv | AT ergao calculationofthereproducingkernelonthereproducingkernelspacewithweightedintegral AT songhesong calculationofthereproducingkernelonthereproducingkernelspacewithweightedintegral AT xinjianzhang calculationofthereproducingkernelonthereproducingkernelspacewithweightedintegral |