In (2006) and (2009), Kim defined new generating functions of the Genocchi, Norlund-type q-Euler polynomials and their interpolation functions. In this paper, we give another definition of the multiple Hurwitz type q-zeta function. This function interpolates Norlund-type q-Euler polynomials at negative integers. We also give some identities related to these polynomials and functions. Furthermore, we give some remarks about approximations of Bernoulli and Euler polynomials. Copyright (C) 2009 M. Acikgoz and Y. Simsek.