On the Generating Function for Bernstein Polynomials

Authors:
  • TSTheodore E. Simos
    Theodore E. Simos
  • GPGeorge Psihoyios
    George Psihoyios
  • CTCh. Tsitouras
    Ch. Tsitouras
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Abstract
The aim of this paper is to give main properties of the generating function of the Bernstein polynomials. We prove recurrence relations and derivative formula for Bernstein polynomials. Furthermore, some new results are obtained by using this generating function of these polynomials.