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

نویسندگان

  • Er Gao
  • Songhe Song
  • Xinjian Zhang
چکیده

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 newmethod will generalize a number of applications of reproducing kernel theory to many areas.

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عنوان ژورنال:
  • J. Applied Mathematics

دوره 2012  شماره 

صفحات  -

تاریخ انتشار 2012