Qom University of TechnologyMathematics and Computational Sciences2717-27083320220901Some new kinds of interpolation formulas and its applications404625492610.30511/mcs.2022.560394.1076ENM. AJafariFinancial Mathematics Department, Finance Faculty, Kharazmi University, Tehran, IranAAminataeiFaculty of Mathematics, K. N. Toosi University of Technology, Tehran, IranJournal Article20220817In this work, using the determination function, some new kinds of interpolation formulas are presented.<br />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.https://mcs.qut.ac.ir/article_254926_c996cec8b10698be0d2e0bbc0d0c1602.pdf