IJPAM: Volume 107, No. 2 (2016)
SPLINE BASIS FUNCTIONS FOR
Institute of Mathematics
National University of Mongolia
Department of Informatics
Mongolian State University of Education
Abstract. A method for constructing a new kind of spline basis functions ( ) with compact support on was described by Ueno et al. (2007). These basis functions for sampling approximations consist of a linear combination of the cardinal splines, but the construction is complicated and therefore were constructed basis functions only for . We discuss a new construction of the basis functions and its approximation properties are considered.
Received: December 14, 2015
AMS Subject Classification: 65D, 41A15
Key Words and Phrases: construction of basis splines, sampling and local approximations, error analysis
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DOI: 10.12732/ijpam.v107i2.9 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 393 - 406