Science and Education Publishing American Journal of Applied Mathematics and Statistics 2333-4576 2 3 2014 03 31 Unique Lacunary interpolations with Estimate Errors Bound 88 91 EN Faraidun K. HamaSalh Department of Mathematics, School of Science Education, University of Sulaimani Iraq Shko A. Tahir University of Sulaimani-Faculty of Science and Science Education School ofScience-Department of Mathematics, Sulaimani, Iraq AJAMS2014231 10.12691/ajams-2-3-1 2013 10 29 2014 03 17 2014 03 31 This paper presents a formulation of a Lacunary approximation for the class ninth of spline function at uniform mesh points and the function values at the end points of the interval. Error bounds for the function and its derivatives are derived. Finally, efficiency estimation and convergence orders are also illustrate errors derivations.