A unifying approach to the difference operators and their applications
A unifying approach to the difference operators and their applications
In the present paper, we introduce the idea of difference operators $\Delta^\alpha$ and $\Delta^{(\alpha)} (\alpha\in\mathbb{R})$ and establish certain results which have several applications in Functional as well as Numerical analysis. Indeed, the operator $\Delta^\alpha$ generalizes several difference operators defined by K\i zmaz [1], Et [2], Et and \c{C}olak [3], Malkowsky …