Journal of Applied Mathematics

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

Er Gao, Songhe Song, and Xinjian Zhang

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 175292, 13 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495271

Digital Object Identifier
doi:10.1155/2012/175292

Mathematical Reviews number (MathSciNet)
MR2965704

Zentralblatt MATH identifier
1255.65100

Citation

Gao, Er; Song, Songhe; Zhang, Xinjian. Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral. J. Appl. Math. 2012 (2012), Article ID 175292, 13 pages. doi:10.1155/2012/175292. https://projecteuclid.org/euclid.jam/1355495271


Export citation