Obtaining a Unique Spline Function to Interpolate a Polynomial With Lacunary Data Values
Year: 2025
Type: article
Abstract: The present paper deals with the problem of obtaining a unique spline function for approximating a polynomial function. We have given values of the polynomial; its first derivatives are at the node points and also the third derivatives are given at the knot points of the unit interval I = [0, 1]. The problem is solved majorly in two parts, the first part shows the unique existence of the interpolatory spline function and the second part deals with the convergence theorem and error bounds. Later we discussed its applications for computer-aided design and image processing also.
Authors: Pankaj Kumar Tripathi, Kulbhushan Singh
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408608769