Ahmadi Shali, J., Haghighi, A., Asghary, N., Soleymani, E. (2018). Convergence of Integro Quartic and Sextic B-Spline interpolation. Sahand Communications in Mathematical Analysis, 10(1), 97-108. doi: 10.22130/scma.2017.27153

Jafar Ahmadi Shali; Ahmadreza Haghighi; Nasim Asghary; Elham Soleymani. "Convergence of Integro Quartic and Sextic B-Spline interpolation". Sahand Communications in Mathematical Analysis, 10, 1, 2018, 97-108. doi: 10.22130/scma.2017.27153

Ahmadi Shali, J., Haghighi, A., Asghary, N., Soleymani, E. (2018). 'Convergence of Integro Quartic and Sextic B-Spline interpolation', Sahand Communications in Mathematical Analysis, 10(1), pp. 97-108. doi: 10.22130/scma.2017.27153

Ahmadi Shali, J., Haghighi, A., Asghary, N., Soleymani, E. Convergence of Integro Quartic and Sextic B-Spline interpolation. Sahand Communications in Mathematical Analysis, 2018; 10(1): 97-108. doi: 10.22130/scma.2017.27153

Convergence of Integro Quartic and Sextic B-Spline interpolation

^{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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