On spliced sequences and the density of points with respect to a matrix constructed by using a weight function

• Date: 2019
• Main Authors: Bose, K., Das, P., Sengupta, S., Бозе, К., Дас, П., Сенгупта, С.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2019
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1509
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 Following the line of investigation in [Linear Algebra and Appl. -- 2015. -- {\bf 487}. -- P. 22--42], for $y\in\mathbb{R}$ and a sequence $x=(x_n)\in\ell^\infty$ we define а new notion of density $\delta_{g}$ with respect to a weight function $g$ of indices of the elements $x_n$ close t...