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Recently, Kim proposed interesting q-extension of Bernstein polynomials andpositive linear operators on C[0,1] which are different Phillips' q-Bernsteinpolynomials. From Kim's q-Bernstein polynomials, we investigate someinteresting properties of q-Bernstein polynomials associated with q-stirlingnumbers and Carlitz's q-Bernoulli numbers

q-Bernstein polynomials associated with q-stirling numbers and Carlitz's q-Bernoulli numbers