Some new kinds of interpolation formulas and its applications

Document Type : Original Article


1 Financial Mathematics Department, Finance Faculty, Kharazmi University, Tehran, Iran

2 Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran


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.


Main Subjects

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