eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2333-4576 2014-03-31 2 3 88 91 10.12691/ajams-2-3-1 AJAMS2014231 article Faraidun K. HamaSalh faraidunsalh@gmail.com; tahirshko@gmail.com 1 Shko A. Tahir faraidunsalh@gmail.com; tahirshko@gmail.com 2 Department of Mathematics, School of Science Education, University of Sulaimani Iraq University of Sulaimani-Faculty of Science and Science Education School ofScience-Department of Mathematics, Sulaimani, Iraq 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. http://pubs.sciepub.com/ajams/2/3/1/ajams-2-3-1.pdf lacunary interpolations function convergence analysis differential equations