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Convergence of Integro Quartic and Sextic B-Spline interpolation

Journal: Sahand Communications in Mathematical Analysis (Vol.10, No. 1)

Publication Date:

Authors : ; ; ; ;

Page : 97-108

Keywords : Integro interpolation quartic B-spline; Integro interpolation sextic B-spline; Convergence;

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Abstract

In this paper, quadratic and sextic B-splines are used to construct an approximating function based on the integral values instead of the function values at the knots. This process due to the type of used B-splines (fourth order or sixth order), called integro quadratic or sextic spline interpolation. After introducing the integro quartic and sextic B-spline interpolation, their convergence is discussed. The interpolation errors are studied. Numerical results illustrate the efficiency and effectiveness of the new interpolation method.

Last modified: 2018-06-19 14:27:43