Some new kinds of interpolation formulas and its applications

Document Type : Original Article

Authors

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

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

Abstract

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.

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References

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[6] G. Mastroianni, G.V. Milovanovi´ c, Interpolation processes: Basic theory and applications, Springer, 2008.
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Mathematics and Computational Sciences
Volume 3, Issue 3
September 2022
Pages 40-46

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History

  • Receive Date: 17 August 2022
  • Accept Date: 24 September 2022
  • First Publish Date: 24 September 2022

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