University of MaraghehSahand Communications in Mathematical Analysis2322-580710120180401Convergence of Integro Quartic and Sextic B-Spline interpolation971082715310.22130/scma.2017.27153ENJafar Ahmadi ShaliDepartment of Statistics, Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran.Ahmadreza HaghighiDepartment 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.Nasim AsgharyDepartment of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran.Elham SoleymaniDepartment of Mathematics, Faculty of Science, Urmia University of technology, P.O.Box 57166-17165, Urmia, Iran.Journal Article20170727In 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.http://scma.maragheh.ac.ir/article_27153_746eb3f7b1690e6f4e7d778acb54a765.pdf