A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value Problems | Zendy

Jing Niu | Zendy; Yingzhen Lin | Zendy; Minggen Cui | Zendy

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A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value Problems

Author(s) -

Jing Niu,

Yingzhen Lin,

Minggen Cui

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/959346

Subject(s) - mathematics , kernel (algebra) , interval (graph theory) , computation , polynomial kernel , polynomial , boundary value problem , representation (politics) , boundary (topology) , representer theorem , kernel method , value (mathematics) , kernel embedding of distributions , mathematical analysis , pure mathematics , algorithm , computer science , combinatorics , artificial intelligence , statistics , support vector machine , politics , political science , law

A new analytical method for the computation of reproducing kernel is proposed and tested on some examples. The expression ofreproducing 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

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