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

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<…<x_n-1< x_n=1 be a partition of the interval I=[0,1] withx_k+1-x_k=h_k,k=0(1)n-1 and a set of real numbers {f_k^(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.