Inhomogeneous Lacunary Interpolation by Splines (0, 2; 0, 1, 4) Case

In this study, we introduces the idea of lacunary interpolation on inhomogeneous by splines function (0, 2; 0, 1, 4) case. It has been shown that the new sixtic spline interpolation exist and uniquely for both cases. Convergence analysis of the method is discussed and the estimate of error bounds of spline interpolation to a function satisfying certain smoothness conditions and its derivatives are derived.