A note on q-Bernoulli numbers and polynomials

Recently, B. A. Kupershmidt have constructed a reflection symmetries of q-Bernoulli polynomials (see [9]).In this paper we give another construction of a q-Bernoulli polynomials, which form Barnes' multiple Bernoulli polynomials at q = 1, cf. [1,13,14].By using q-Volkenborn integration, we can also investigate the properties of the reflection symmetries of these' q-Bernoulli polynomials.