Taylor theory associated with Hahn difference operator

Abstract In this paper, we establish Taylor theory based on Hahn’s difference operator D q , ω $D_{q,\omega}$ which is defined by D q , ω f ( t ) = f ( q t + ω ) − f ( t ) t ( q − 1 ) + ω $D_{q,\omega}f(t)=\frac{f(qt+\omega)-f(t)}{t(q-1)+\omega}$ , t ≠ ω 1 − q $t\neq\frac {\omega}{1-q}$ , where q ∈...

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Bibliographic Details
Main Authors: Karima Oraby, Alaa Hamza
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-020-02392-y