SPECIFIC NUMERICAL PROPERTIES OF B-SPLINE IN FUNCTION APPROXIMATIONS

SHAINI, Bilall and REXHEPI, Shpëtim and RUFATI, Eip (2022) SPECIFIC NUMERICAL PROPERTIES OF B-SPLINE IN FUNCTION APPROXIMATIONS. Journal of Natural Sciences and Mathematics of UT, 7 (13-14). pp. 98-107. ISSN 2671-3039

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Abstract

B-splines are a class of functions with interesting and numerically useful properties. Spline functions are piecewise polynomials connected by the distribution on the segment in nodes. B-spline is a combination of curves that pass through a certain number of points (control points) and form smooth curves. In this paper, we will consider B-splines as special partially nonnegative polynomials that disappear everywhere except in at several adjacent intervals. From a numerical point of view, it is important to define B-splines through divided differences, with the possibility of computing higher-order B-spline recursively. B-spline approximations will be considered taking into account only the local behavior of the primitive function. We will use a numerically stable algorithm to efficiently calculate the estimate of the B-spline function. Some specific applications of B-spline calculated using the Mathematica program package and geometric interpretation of results are given.

Item Type:	Article
Uncontrolled Keywords:	B-spline properties, Approximations via B-spline, Invers function formula, B-spline estimate, B-spline curve
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Unnamed user with email zshi@unite.edu.mk
Date Deposited:	31 Oct 2022 12:44
Last Modified:	03 Oct 2023 09:58
URI:	http://eprints.unite.edu.mk/id/eprint/1064

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