The power quantum calculus and variational problems

Khaled A. Aldwoah, Agnieszka B. Malinowska, Delfim F. M. Torres

We introduce the power difference calculus based on the operator $D_{n,q}f(t)=\frac{f(q{t}^n)-f(t)}{q{t}^n-t}$, where $n$ is an odd positive integer and $0<q<1$. Properties of the…