Interpolation Process By G-Splines

Th. Fauzi constructed special kinds of lacunary quintic g-splines and proved that for functions f∈C^((4)) the methods converges faster than that investigated by A.K. Verma and for functions ∈C^((5)) the order of approximation is the same as the best order of approximation using quintic g[1]splines. In this paper, we construct quintic lacunary g-splines which are solutions of (0,1,4 )- Interpolation problem and obtain their local approximations with functions belonging to C^((4) ) (I) and C^((5) ) (I). Our methods are of lower degree having better convergence property than the earlier investigations