Advances in Difference Equations, vol.2013, 2013 (SCI-Expanded)
The main purpose of this paper is to introduce and investigate a class of generalized Bernoulli polynomials and Euler polynomials based on the q-integers. The q-analogues of well-known formulas are derived. The q-analogue of the Srivastava-Pintér addition theorem is obtained. We give new identities involving q-Bernstein polynomials. © 2013 Mahmudov; licensee Springer.