A survey of results on the q-Bernstein polynomials

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A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function (2010, background): “[4], [6], [13], [14], [15], [12], [16], [21]) and see also the references cited in each of these earlier works.”
The Bernstein polynomial basis: A centennial retrospective (2012, background): “Hence, the value of pn(t), being a sum of sampled values of f(t) at the n+ 1 uniformly–spaced ordinates t = k/n weighted by the basis functions bk(t), (4)A number of generalizations of the basic Bernstein polynomial approximation (2), that preserve and extend its key properties, have been proposed —”