IJPAM: Volume 107, No. 2 (2016)

A NEW METHOD FOR THE CONSTRUCTION OF
SPLINE BASIS FUNCTIONS FOR
SAMPLING APPROXIMATIONS

T. Zhanlav$^1$, R. Mijiddorj$^2$
$^{1,2}$Institute of Mathematics
National University of Mongolia
MONGOLIA
$^2$Department of Informatics
Mongolian State University of Education
MONGOLIA


Abstract. A method for constructing a new kind of spline basis functions ( $\varphi_{2n}(x)$) with compact support on $R$ was described by Ueno et al. (2007). These basis functions for sampling approximations consist of a linear combination of the cardinal $B$ splines, but the construction is complicated and therefore were constructed basis functions $\varphi_{2n}(x)$ only for $n\leq5$. 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
Year: 2016
Volume: 107
Issue: 2
Pages: 393 - 406


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