@article { author = {Ahmadi Shali, Jafar and Haghighi, Ahmadreza and Asghary, Nasim and Soleymani, Elham}, title = {Convergence of Integro Quartic and Sextic B-Spline interpolation}, journal = {Sahand Communications in Mathematical Analysis}, volume = {10}, number = {1}, pages = {97-108}, year = {2018}, publisher = {University of Maragheh}, issn = {2322-5807}, eissn = {2423-3900}, doi = {10.22130/scma.2017.27153}, 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.}, keywords = {Integro interpolation quartic B-spline,Integro interpolation sextic B-spline,Convergence}, url = {https://scma.maragheh.ac.ir/article_27153.html}, eprint = {https://scma.maragheh.ac.ir/article_27153_746eb3f7b1690e6f4e7d778acb54a765.pdf} }