A note on $q$-Euler and Genocchi numbers

In [1, 2], L. Carlitz constructed a q-Eulerian numbers, by using q-difference operator. In this paper, we give another constructions of a q-Euler numbers, which are different than his q-Euler numbers (see [1], [2]). By using our q-Euler numbers, we can investigate the relations between q-Euler numbers and q-extension of Genocchi numbers.