%0 Journal Article %T Convergence of Integro Quartic and Sextic B-Spline interpolation %J Sahand Communications in Mathematical Analysis %I University of Maragheh %Z 2322-5807 %A Ahmadi Shali, Jafar %A Haghighi, Ahmadreza %A Asghary, Nasim %A Soleymani, Elham %D 2018 %\ 04/01/2018 %V 10 %N 1 %P 97-108 %! Convergence of Integro Quartic and Sextic B-Spline interpolation %K Integro interpolation quartic B-spline %K Integro interpolation sextic B-spline %K Convergence %R 10.22130/scma.2017.27153 %X 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. %U https://scma.maragheh.ac.ir/article_27153_746eb3f7b1690e6f4e7d778acb54a765.pdf