TY - JOUR
ID - 27153
TI - Convergence of Integro Quartic and Sextic B-Spline interpolation
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Ahmadi Shali, Jafar
AU - Haghighi, Ahmadreza
AU - Asghary, Nasim
AU - Soleymani, Elham
AD - Department of Statistics, Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran.
AD - 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.
AD - Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran.
AD - Department of Mathematics, Faculty of Science, Urmia University of technology, P.O.Box 57166-17165, Urmia, Iran.
Y1 - 2018
PY - 2018
VL - 10
IS - 1
SP - 97
EP - 108
KW - Integro interpolation quartic B-spline
KW - Integro interpolation sextic B-spline
KW - Convergence
DO - 10.22130/scma.2017.27153
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_27153.html
L1 - https://scma.maragheh.ac.ir/article_27153_746eb3f7b1690e6f4e7d778acb54a765.pdf
ER -