Investigation of the Properties of a New Class of Interpolation Polynomials Based on Fibonacci Numbers

Author(s):

Moosa Ebadi * , Sareh Haghkhah

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, a class of new polynomials based on Fibonacci sequence using Newton interpolation is introduced. This target is performed once using Newton forward- divided- difference formula and another more using Newton backward- divided- difference formula. Some interesting results are obtained for forward and backward differences. The relationship between forward (and backward) differences and the Khayyam- Pascal's triangle are also examined.
Keywords:

Fibonacci sequence , Newton interpolation , Forward differences , Backward differences

Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:20 Issue: 2, Spring 2023
Pages:
133 to 146
https://www.magiran.com/p2548082