eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 2013-06-11 1 1 46 51 10.12691/ajams-1-3-3 AJAMS2013133 article Faraidun K. Hamasalh faraidunsalh@gmail.com 1 Karwan H.F. Jwamer 2 University of Sulaimani, Faculty of Science and Science Education, School of Science Education, Sulaimani, Iraq University of Sulaimani, Faculty of Science and Science Education, School of Science, Sulaimani, Iraq This paper surveys and reviews paper of spline degree seven inhomogeneous and optimized the best errors bound by spline (0,2, 5; 0, 3, 6) case. It has been shown that the existence, uniqueness and convergence analysis with minimizing the error bounds of deficient seventh spline interpolated. http://pubs.sciepub.com/ajams/1/3/3/ajams-1-3-3.pdf interpolation spline function boundary condition optimal error bounds