TITLE

Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral

AUTHOR(S)
Er Gao; Songhe Song; Xinjian Zhang
PUB. DATE
January 2012
SOURCE
Journal of Applied Mathematics;2012, p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
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.
ACCESSION #
84861503

 

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