APPLICATION OF LAGRANGIAN AND NEWTONIAN INTERPOLATION METHODS

Authors

  • Asiya Umirbaeva Tashkent University of Information Technologies named after Muhammad al-Khwarizmi
  • Bekzod Amonqulov Tashkent University of Information Technologies named after Muhammad al-Khwarizmi
  • Afro‘z Qahhorov Tashkent University of Information Technologies named after Muhammad al-Khwarizmi
  • Abrorjon Turg‘unov Tashkent University of Information Technologies named after Muhammad al-Khwarizmi

Keywords:

interpolation, numerical analysis, Lagrange method, Newton method, polynomial approximation

Abstract

Interpolation is an important technique in numerical analysis used to estimate unknown values of a function based on known data points. This paper discusses two well-known interpolation methods: the Lagrange interpolation method and the Newton interpolation method. These techniques construct a polynomial that passes through given points and can be used to estimate intermediate values. Interpolation is widely applied in scientific computing, engineering, economics, and data analysis.

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Published

2026-03-15

Issue

No. 3 (2026): Science, Technology, and Education in Dialogue

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.