On the $F$-Bernstein polynomials

  • Alper Erdem Department of Mathematics, Mersin University, Turkey
  • Orhan Dişkaya Department of Mathematics, Mersin University, Turkey
  • Hamza Menken Department of Mathematics, Mersin University, Turkey
Keywords: Fibonacci numbers, 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. Moreover, we acquire certain connection between the $F$-Bernstein polynomials and the Fibonacci numbers.  


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How to Cite
ErdemA., DişkayaO., and MenkenH. “On the $F$-Bernstein Polynomials”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 76, no. 6, July 2024, pp. 832–842, doi:10.3842/umzh.v76i5.7439.
Research articles