On the F-Bernstein Polynomials
摘要
We construct a new Bernstein operator, which is called the F-Bernstein operator. This operator is obtained by using the F-factorial (Fibonacci factorial) and the Fibonomial (Fibonacci binomial). We also study the F-Bernstein basis polynomials and consider some of their properties. Moreover, we establish a relationship between the F-Bernstein polynomials and Fibonacci numbers.