Publicationes Mathematicae Debrecen, vol.76, no.3-4, pp.465-479, 2010 (SCI-Expanded)
In the present paper, we introduce genuine q-Bernstein-Durrmeyer operators and estimate the rate of convergence for continuous functions in terms of modulus of continuity. Furthermore we study some direct results for the genuine q-Bernstein-Durrmeyer operators.