On the $F$-Bernstein polynomials
UDC 517.5 We construct a new Bernstein operator, which is called the $F$-Bernstein operator obtained by using the $F$-factorial (Fibonacci factorial) and the Fibonomial (Fibonacci binomial). Then we examine the $F$-Bernstein basis polynomials and some of their properties. M...
Збережено в:
| Дата: | 2024 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2024
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/7439 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.5
We construct a new Bernstein operator, which is called the $F$-Bernstein operator obtained by using the $F$-factorial (Fibonacci factorial) and the Fibonomial (Fibonacci binomial). Then we examine the $F$-Bernstein basis polynomials and some of their properties. Moreover, we acquire certain connection between the $F$-Bernstein polynomials and the Fibonacci numbers.   |
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| DOI: | 10.3842/umzh.v76i5.7439 |