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Solution of a Birkhoff Interpolation Problem by a Special Spline Function
Author(s) -
Ambrish KumarPandey,
Kulbhushan Singh,
Qazi Shoeb Ahmad
Publication year - 2012
Publication title -
international journal of computer applications
Language(s) - English
Resource type - Journals
ISSN - 0975-8887
DOI - 10.5120/7376-0174
Subject(s) - computer science , spline interpolation , spline (mechanical) , interpolation (computer graphics) , function (biology) , mathematics , mathematical optimization , computer graphics (images) , computer vision , mechanical engineering , bilinear interpolation , evolutionary biology , engineering , biology , animation
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 λ (0 in between the nodes are prescribed. We have solved the unique existence and convergence problems, using spline functions. As this holds for any λ (0 we named it a generalized problem. General Terms Your general terms must be any term which can be used for general classification of the submitted material such as Pattern Recognition, Security, Algorithms et. al.

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