Taylor theory associated with Hahn difference operator

[摘要] In this paper, we establish Taylor theory based on Hahn’s difference operator $D_{q,\omega}$ which is defined by $D_{q,\omega}f(t)=\frac{f(qt+\omega)-f(t)}{t(q-1)+\omega}$, $t\neq\frac {\omega}{1-q}$, where $q\in(0,1)$ and ω is a positive number.

[学科分类] 电力

[关键词] Taylor series;Hahn difference operator \(D_{q;\omega}\)