Inequalities for q-gamma function ratios

In this work inequalities for the ratios of q-gamma function are obtained which generalize the results obtained independently by Artin, Wendel, Gautschi and Jameson. Using these inequalities bounds for Gaussian binomial coefficients and q-Wallis ratio are derived and Bohr-Mollerup theorem is also proved as applications. The recent methods developed for gamma functions are used in order to obtain main results.