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

Abstract

Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator Dq 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.