Research Article

Solution of a Birkhoff Interpolation Problem by a Special Spline Function

by  Ambrish Kumar Pandey, K. B. Singh, Qazi Shoeb Ahmad
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 48 - Issue 9
Published: June 2012
Authors: Ambrish Kumar Pandey, K. B. Singh, Qazi Shoeb Ahmad
10.5120/7376-0174
PDF

Ambrish Kumar Pandey, K. B. Singh, Qazi Shoeb Ahmad . Solution of a Birkhoff Interpolation Problem by a Special Spline Function. International Journal of Computer Applications. 48, 9 (June 2012), 22-27. DOI=10.5120/7376-0174

                        @article{ 10.5120/7376-0174,
                        author  = { Ambrish Kumar Pandey,K. B. Singh,Qazi Shoeb Ahmad },
                        title   = { Solution of a Birkhoff Interpolation Problem by a Special Spline Function },
                        journal = { International Journal of Computer Applications },
                        year    = { 2012 },
                        volume  = { 48 },
                        number  = { 9 },
                        pages   = { 22-27 },
                        doi     = { 10.5120/7376-0174 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2012
                        %A Ambrish Kumar Pandey
                        %A K. B. Singh
                        %A Qazi Shoeb Ahmad
                        %T Solution of a Birkhoff Interpolation Problem by a Special Spline Function%T 
                        %J International Journal of Computer Applications
                        %V 48
                        %N 9
                        %P 22-27
                        %R 10.5120/7376-0174
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

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.

References
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Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

Lacunary Interpolation Spline Functions

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