IMPROVING THE ACCURACY OF INTERPOLATION OF FUNCTIONS IN LAGRANGE AND NEWTON'S METHOD

Authors

  • M.R. Gofurjonov Tashkent University of Information Technologies named after Muhammad al-Khwarizmi Author
  • L. Ya. Xuramov Samarkand State University named after Sharof Rashidov Author
  • Marifat Meliyeva Samarkand State University named after Sharof Rashidov Author

Keywords:

Lagrange interpolation, Newton interpolation error, approximation.

Abstract

In this work in a limited range located from points harvest was without a break  function​​ for  Lagrange and  In Newton Interpolation Methods approximation has been made, and their interpolation The errors were estimated. At the same time, an improved algorithm for constructing Lagrange and Newton interpolation methods was developed. As a result, it was shown which method is more effective in approximating functions.

References

Ilm-fan 2410.pdf

Published

2025-06-20

Issue

Vol. 3 No. 24 (2025): Science and Innovation

Section

Articles

How to Cite

IMPROVING THE ACCURACY OF INTERPOLATION OF FUNCTIONS IN LAGRANGE AND NEWTON’S METHOD. (2025). Science and Innovation, 3(24), 34-40. https://in-academy.uz/index.php/SI/article/view/33908