Investigation of the Properties of a New Class of Interpolation Polynomials Based on Fibonacci Numbers
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 f...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Maragheh
2023-03-01
|
| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_700986_17d54b8a362fdf1798b71ad0560e5e0c.pdf |
| _version_ | 1827800031434899456 |
|---|---|
| author | Moosa Ebadi Sareh Haghkhah |
| author_facet | Moosa Ebadi Sareh Haghkhah |
| author_sort | Moosa Ebadi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T20:00:42Z |
| format | Article |
| id | doaj.art-b683e23b5bca4f099abed2fc3dc49e62 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-03-11T20:00:42Z |
| publishDate | 2023-03-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-b683e23b5bca4f099abed2fc3dc49e622023-10-04T08:29:36ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002023-03-0120213314610.22130/scma.2022.544445.1030700986Investigation of the Properties of a New Class of Interpolation Polynomials Based on Fibonacci NumbersMoosa Ebadi0Sareh Haghkhah1Department of Mathematics, University of Farhangian, Tehran, Iran.Department of Mathematics, University of Farhangian, Tehran, Iran.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.https://scma.maragheh.ac.ir/article_700986_17d54b8a362fdf1798b71ad0560e5e0c.pdffibonacci sequencenewton interpolationforward differencesbackward differences |
| spellingShingle | Moosa Ebadi Sareh Haghkhah Investigation of the Properties of a New Class of Interpolation Polynomials Based on Fibonacci Numbers Sahand Communications in Mathematical Analysis fibonacci sequence newton interpolation forward differences backward differences |
| title | Investigation of the Properties of a New Class of Interpolation Polynomials Based on Fibonacci Numbers |
| title_full | Investigation of the Properties of a New Class of Interpolation Polynomials Based on Fibonacci Numbers |
| title_fullStr | Investigation of the Properties of a New Class of Interpolation Polynomials Based on Fibonacci Numbers |
| title_full_unstemmed | Investigation of the Properties of a New Class of Interpolation Polynomials Based on Fibonacci Numbers |
| title_short | Investigation of the Properties of a New Class of Interpolation Polynomials Based on Fibonacci Numbers |
| title_sort | investigation of the properties of a new class of interpolation polynomials based on fibonacci numbers |
| topic | fibonacci sequence newton interpolation forward differences backward differences |
| url | https://scma.maragheh.ac.ir/article_700986_17d54b8a362fdf1798b71ad0560e5e0c.pdf |
| work_keys_str_mv | AT moosaebadi investigationofthepropertiesofanewclassofinterpolationpolynomialsbasedonfibonaccinumbers AT sarehhaghkhah investigationofthepropertiesofanewclassofinterpolationpolynomialsbasedonfibonaccinumbers |