مقارنة بين بعض طرق الاستكمال بكثيرات حدود لاغرانج التقليدية والمعدلة و نيوتن و كثيرات حدود تشيبيشيف

Authors

  • Souad A. Abumaryam قسم الرياضيات،كلية العلوم، جامعة الجفرة ، الجفرة ، ليبيا
  • Hamida Mohammed Abdulla Othman قسم الرياضيات،كلية العلوم، جامعة سرت ، سرت ، ليبيا

DOI:

https://doi.org/10.37376/fesj.vi19.7429

Keywords:

Approximation Chebyshev roots Interpolation Lagrange Polynomial

Abstract

This research paper aims to compare different polynomial interpolation methods: traditional Lagrange, first modified Lagrange, second modified Lagrange) Barycentric form (, in addition to Newton’s method and Chebyshev polynomial interpolation. Each of these methods is studied using both equally spaced points and Chebyshev points, focusing on how to improve approximation accuracy through point selection and distribution. Additionally, some advantages and disadvantages of each method are assessed

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Author Biographies

Souad A. Abumaryam, قسم الرياضيات،كلية العلوم، جامعة الجفرة ، الجفرة ، ليبيا

قسم الرياضيات،كلية العلوم، جامعة الجفرة ، الجفرة ، ليبيا 

استاذ مشارك

Hamida Mohammed Abdulla Othman, قسم الرياضيات،كلية العلوم، جامعة سرت ، سرت ، ليبيا

قسم الرياضيات،كلية العلوم، جامعة سرت ، سرت ، ليبيا

References

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Published

2025-12-21

Issue

Section

Articles