On the $F$-Bernstein polynomials

• Date: 2024
• Main Authors: Erdem, Alper, Dişkaya, Orhan, Menken, Hamza
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2024
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7439
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...