Research Article Open Access

Generalization of (0, 4) Lacunary Interpolation by Quantic Spline

Jwamer Karwan Hama Faraj and Ridha G. Karem

Abstract

Problem statement: Spline functions are the best tool of polynomials used as the basic means of approximation theory in nearly all areas of numerical analysis. Also in the problem of interpolation by g-spline construction of spline, existences, uniqueness and error bounds needed. Approach: In this study, we generalized (0,4) lacunary interpolation by quanta spline function. Results: The results obtained, the existence uniqueness and error bounds for generalize (0, 4) lacunary interpolation by qunatic spline. Conclusion: These generalize are preferable to interpolation by quantic spline to the use (0,4).

Journal of Mathematics and Statistics
Volume 6 No. 1, 2010, 72-78

DOI: https://doi.org/10.3844/jmssp.2010.72.78

Submitted On: 14 January 2010 Published On: 31 March 2010

How to Cite: Faraj, J. K. H. & Karem, R. G. (2010). Generalization of (0, 4) Lacunary Interpolation by Quantic Spline. Journal of Mathematics and Statistics, 6(1), 72-78. https://doi.org/10.3844/jmssp.2010.72.78

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Keywords

  • Spline function
  • existence and uniqueness
  • error bounds