A Study Of Lacunary Interpolation Of Degree Five And Six By G-Splines

Research Article
Srivastava R
DOI: 
xxx-xxxxx-xxxx
Subject: 
science
KeyWords: 
Spline function, lacunary interpolation, quintic splines piecewise polynomial.
Abstract: 

In this paper, we construct a special kind of g-splines, which are the solution of ( 0, 1, 3, 4 )-interpolation problem : Let Δ: 0 =X0<x1<…<xn-1< xn=1 be a partition of the interval I=[0,1] withxk+1-xk=hk,k=0(1)n-1 and a set of real numbers {fk(q)},k=0(1)n  where q = 0,1,3,4. Now we solve the problem and proves convergence theorems that satisty the theory of best approximation using spline polynomials of degree 5&6.