The Properties Of Modified q-Bernstein Polynomials for Functions Of Several Variables With Their Generating Function And Interpolation Function

Authors:
  • MAMehmet Açikgöz
    Mehmet Açikgöz
  • SASerkan Araci
    Serkan Araci
  • HJHassan Jolany
    Hassan Jolany
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Abstract
The aim of this paper is to give a new approach to modified q-Bernstein polynomials for functions of several variables. By using these polynomials, recurrence formulas and some new interesting identities related to the second Stirling numbers and generalized Bernoulli polynomials are derived. Moreover, the generating function and interpolation function of these polynomials of several variables and also the derivatives of these polynomials and their generating function are given.