Author/Authors :
Ahmadi Shali Jafar نويسنده Department of Statistics, Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran. , Haghighi Ahmadreza نويسنده 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. , Asghary Nasim نويسنده Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran. , Soleymani Elham نويسنده 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.
