On a Difference Matrix and Its Properties
DOI:
https://doi.org/10.4208/ata.2017.v33.n4.7Keywords:
Difference operators $∆^α$, $B(r, s)$, s, t, u)$, $D$, Cesàro operator $C(1, 1)$.Abstract
In the present paper, a new difference matrix via difference operator $D$ is introduced. Let $x = (x_k)$ be a sequence of real numbers, then the difference operator $D$ is defined by $D(x)_n = ∑^n_{k=0} (−1)^k\Bigg(\begin{matrix}n \\ n−k \end{matrix}\Bigg)x_k$, where $n = 0,1,2,3,···$. Several interesting properties of the new operator $D$ are discussed.
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2017-11-02
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On a Difference Matrix and Its Properties. (2017). Analysis in Theory and Applications, 33(4), 375-383. https://doi.org/10.4208/ata.2017.v33.n4.7
