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- W4297573785 abstract "We introduce the power difference calculus based on the operator $D_{n,q} f(t) = frac{f(qt^n)-f(t)}{qt^n -t}$, where $n$ is an odd positive integer and $0<q<1$. Properties of the new operator and its inverse --- the $d_{n,q}$ integral --- are proved. As an application, we consider power quantum Lagrangian systems and corresponding $n,q$-Euler--Lagrange equations." @default.
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- W4297573785 date "2011-07-01" @default.
- W4297573785 modified "2023-09-25" @default.
- W4297573785 title "The power quantum calculus and variational problems" @default.
- W4297573785 doi "https://doi.org/10.48550/arxiv.1107.0344" @default.
- W4297573785 hasPublicationYear "2011" @default.
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