Year: 2017
Analysis in Theory and Applications, Vol. 33 (2017), Iss. 4 : pp. 375–383
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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2017.v33.n4.7
Analysis in Theory and Applications, Vol. 33 (2017), Iss. 4 : pp. 375–383
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Difference operators $∆^α$ $B(r s)$ s t u)$ $D$ Cesàro operator $C(1 1)$.