Convergence of Integro Quartic and Sextic B-Spline interpolation

Authors

  • Ahmadreza Haghighi 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.
  • Elham Soleymani Department of Mathematics, Faculty of Science, Urmia University of technology, P.O.Box 57166-17165, Urmia, Iran.
  • Jafar Ahmadi Shali Department of Statistics, Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran.
  • Nasim Asghary Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, 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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Journal title

volume 10  issue 1

pages  97- 108

publication date 2018-04-01

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