@Article{ATA-33-375, author = {}, title = {On a Difference Matrix and Its Properties}, journal = {Analysis in Theory and Applications}, year = {2017}, volume = {33}, number = {4}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2017.v33.n4.7}, url = {http://global-sci.org/intro/article_detail/ata/10704.html} }