Unique Lacunary interpolations with Estimate Errors Bound

Faraidun K. HamaSalh^1, and Shko A. Tahir^2,

¹Department of Mathematics, School of Science Education, University of Sulaimani Iraq

²University of Sulaimani-Faculty of Science and Science Education School ofScience-Department of Mathematics, Sulaimani, Iraq

Cite this paper:
Faraidun K. HamaSalh and Shko A. Tahir. Unique Lacunary interpolations with Estimate Errors Bound. American Journal of Applied Mathematics and Statistics. 2014; 2(3):88-91. doi: 10.12691/ajams-2-3-1

Abstract

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.

Keywords:
lacunary interpolations function convergence analysis differential equations

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