Universal Journal of Mathematics and Mathematical Sciences
Volume 4, [Proceedings of International Conference: Mathematical Science and Applications, December 26-30, 2012, Abu Dhabi, UAE] Issue 1, Pages 27 - 33
(July 2013)
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LACUNARY ODD DEGREE SPLINES OF HIGHER ORDER
Kulbhushan Singh
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Abstract: In this paper, we consider higher-order odd degree splines of a particular class that solve a special Birkhoff interpolation problem, where the function value, first derivative, … up to th derivative are prescribed at the nodes and the mth derivative is prescribed midway between the nodes. Fundamental polynomials of the above mentioned interpolation problem have also been obtained. |
Keywords and phrases: Birkhoff interpolation, spline function, incidence matrix. |
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