Solution of a Birkhoff Interpolation Problem by a Special Spline Function

Solution of a Birkhoff Interpolation Problem by a Special Spline Function

In this paper we have discussed a special lacunary interpolation problem in which the function values, first derivatives at the nodes and the third derivatives at any point ? (0 in between the nodes are prescribed. We have solved the unique existence and convergence problems, using spline functions....

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Veröffentlicht in:International journal of computer applications 2012-01, Vol.48 (9), p.22-27
Hauptverfasser: Pandey, Ambrish Kumar, Singh, K B, Ahmad, Qazi Shoeb
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Sprache:eng
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Convergence
Derivatives
Interpolation
Mathematical analysis
Mathematical models
Spline functions
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container_title International journal of computer applications
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creator Pandey, Ambrish Kumar
Singh, K B
Ahmad, Qazi Shoeb
description In this paper we have discussed a special lacunary interpolation problem in which the function values, first derivatives at the nodes and the third derivatives at any point ? (0 in between the nodes are prescribed. We have solved the unique existence and convergence problems, using spline functions. As this holds for any ? (0 we named it a generalized problem.
doi_str_mv 10.5120/7376-0174
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subjects Convergence
Derivatives
Interpolation
Mathematical analysis
Mathematical models
Spline functions
title Solution of a Birkhoff Interpolation Problem by a Special Spline Function
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