TY - JOUR
ID - 254926
TI - Some new kinds of interpolation formulas and its applications
JO - Mathematics and Computational Sciences
JA - MCS
LA - en
SN - 2717-2708
AU - Jafari, M. A
AU - Aminataei, A
AD - Financial Mathematics Department, Finance Faculty, Kharazmi University, Tehran, Iran
AD - Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran
Y1 - 2022
PY - 2022
VL - 3
IS - 3
SP - 40
EP - 46
KW - Interpolation formula
KW - Error formula
KW - Numerical integration
DO - 10.30511/mcs.2022.560394.1076
N2 - In this work, using the determination function, some new kinds of interpolation formulas are presented.These novel formulas are extensions of Lagrange interpolation. Error formula for these new kind of interpolation formulas are obtained. Finally, using these formulas, some new numerical integration formulas in closed-type and open-type are presented. Absolute error of quadrature formulas show the efficiency of the proposed formulas.
UR - https://mcs.qut.ac.ir/article_254926.html
L1 - https://mcs.qut.ac.ir/article_254926_c996cec8b10698be0d2e0bbc0d0c1602.pdf
ER -