A certain $(p,q)$ -derivative operator and associated divided differences.

Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator $D_{q}$ and divided difference. As applications of the post-quantum calculus known as the $(p,q)$ -calculus, we derive several relations involving the $(p,q)$ -derivative operator and divided differences. [ABSTRACT FROM AUTHOR]