A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value Problems
A new analytical method for the computation of reproducing kernel is proposed and tested on some examples. The expression of reproducing kernel on infinite interval is obtained concisely in polynomial form for the first time. Furthermore, as a particular effective application of this method, we give...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/959346 |
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| _version_ | 1832555027783221248 |
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| author | Jing Niu Yingzhen Lin Minggen Cui |
| author_facet | Jing Niu Yingzhen Lin Minggen Cui |
| author_sort | Jing Niu |
| collection | DOAJ |
| description | A new analytical method for the computation of reproducing kernel is proposed and tested on some examples. The expression of
reproducing kernel on infinite interval is obtained concisely in polynomial form for the first time. Furthermore, as a particular effective application of this method, we give an explicit representation formula for calculation of reproducing kernel in reproducing kernel space with boundary value conditions. |
| format | Article |
| id | doaj-art-192e5fa1c811416884c10f0686b6872a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-192e5fa1c811416884c10f0686b6872a2025-02-03T05:49:41ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/959346959346A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value ProblemsJing Niu0Yingzhen Lin1Minggen Cui2School of Mathematics and Sciences, Harbin Normal University, Harbin 150025, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaA new analytical method for the computation of reproducing kernel is proposed and tested on some examples. The expression of reproducing kernel on infinite interval is obtained concisely in polynomial form for the first time. Furthermore, as a particular effective application of this method, we give an explicit representation formula for calculation of reproducing kernel in reproducing kernel space with boundary value conditions.http://dx.doi.org/10.1155/2013/959346 |
| spellingShingle | Jing Niu Yingzhen Lin Minggen Cui A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value Problems Abstract and Applied Analysis |
| title | A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value Problems |
| title_full | A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value Problems |
| title_fullStr | A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value Problems |
| title_full_unstemmed | A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value Problems |
| title_short | A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value Problems |
| title_sort | novel approach to calculation of reproducing kernel on infinite interval and applications to boundary value problems |
| url | http://dx.doi.org/10.1155/2013/959346 |
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