CONSTRUCTION OF A SPLINE FUNCTION WITH MIXED NODE VALUES

admin January 20, 2024

Authors:

Rama Nand Mishra,Akhilesh Kumar Mishra,Kulbhushan Singh,

DOI NO:

https://doi.org/10.26782/jmcms.2024.01.00002

Keywords:

Lacunary interpolation,spline functions,Taylor expansion,modulus of continuity,error bounds,convergence of function,

Abstract

The present paper deals with the lacunary interpolation problem called the mixed values problem or (0, 3; 0, 2) problem for which known data points are function values at all the points, third derivatives at even knots, and second derivatives at odd knots of the unit interval I = [0,1]. For this problem, we obtained an interpolating function. The paper is divided into two parts, where we have shown that the spline function exists and is convergent.

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