Using a Quartic Spline Function for Certain Birkhoff Interpolation Problem | Zendy

Kulbhushan Singha | Zendy; Ambrish Kumar Pandey | Zendy

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Using a Quartic Spline Function for Certain Birkhoff Interpolation Problem

Author(s) -

Kulbhushan Singha,

Ambrish Kumar Pandey

Publication year - 2014

Publication title -

international journal of computer applications

Language(s) - English

Resource type - Journals

ISSN - 0975-8887

DOI - 10.5120/17357-7866

Subject(s) - quartic function , computer science , spline interpolation , interpolation (computer graphics) , spline (mechanical) , function (biology) , mathematics , mathematical optimization , algorithm , computer graphics (images) , computer vision , pure mathematics , bilinear interpolation , physics , evolutionary biology , biology , animation , thermodynamics

Let f be a real valued function defined in [0, 1], with values known at intermediate points such that the first derivatives of f at all nodes are also known at intermediate points.In this paper, we construct an interpolatory quartic spline s which interpolates the function f. Unique existence and convergence of this spline are also established. This type of construction is known to have found aesthetic utility in finding areas under or bounded by polynomial curves.

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