Document Type : Research Paper
Authors
- Jafar Ahmadi Shali ^{} ^{1}
- Ahmadreza Haghighi ^{2}
- Nasim Asghary ^{3}
- Elham Soleymani ^{4}
^{1} Department of Statistics, Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran.
^{2} Department of Mathematics, Faculty of Science, Technical and Vocational University(TVU), Tehran, Iran and Department of Mathematics, Faculty of Science, Urmia University of technology, P.O.Box 57166-17165, Urmia-Iran.
^{3} Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran.
^{4} Department of Mathematics, Faculty of Science, Urmia University of technology, P.O.Box 57166-17165, Urmia, Iran.
Abstract
In this paper, quadratic and sextic B-splines are used to construct an approximating function based on the integral values instead of the function values at the knots. This process due to the type of used B-splines (fourth order or sixth order), called integro quadratic or sextic spline interpolation. After introducing the integro quartic and sextic B-spline interpolation, their convergence is discussed. The interpolation errors are studied. Numerical results illustrate the efficiency and effectiveness of the new interpolation method.
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