Rama Nand Mishra,Akhilesh Kumar Mishra,Kulbhushan Singh,



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


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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