A unifying approach to the difference operators and their applications

By Pinakadhar Baliarsingh, S. Dutta. 2013

49 citations recorded by the source corpus.

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 and Parashar [4], Et [5], Malkowsky et al. [6], Baliarsingh [7] and many others (see [8-15]).

Subfields: Applied Mathematics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/32df355522a954ee3be0e28668fb599571c4b6e2

Citations in the corpus

• On certain Euler difference sequence spaces of fractional order and related dual properties (2015, unknown): “[12] S. Dutta, P. Baliarsingh, On some Toeplitz matrices and their inversion, J. Egypt.”