On \(q\)-Hausdorff matrices
type: Item
instance of: scholarly article
title: On \(q\)-Hausdorff matrices
zbMATH Open document ID: 1268.40005
author: T. Selmanogullari
author: Billy E. Rhoades
author: Ekrem Savaş
published in: Taiwanese Journal of Mathematics
publication date: 2012-08-31T00:00:00Z
full work available at URL: http://journal.taiwanmathsoc.org.tw/index.php/TJM/article/view/1443
review text: Ordinary Hausdorff matrices were introduced in 1917 by W. A. Hurwitz and L. L. Silverman to be the class of lower triangular matrices that commute with the Cesàro matrix of order one. F. Hausdorff (1921) reexamined this class, and developed many properties of the matrices that now bear his name. The \(q\)-Hausdorff matrices are defined similarly in terms of symbols of \(q\)-mathematics. The authors consider \(q\)-analogues of the Cesàro matrix of order one for both \(q\) in \((0,1)\) and for \(q\) greater than 1, and deduce lower bounds for these matrices.
reviewed by: József Sándor
Mathematics Subject Classification ID: 40C05
Mathematics Subject Classification ID: 40G05
zbMATH DE Number: 6074769
zbMATH Keywords: \(q\)-Hausdorff matrices
zbMATH Keywords: \(q\)-Cesàro matrices
zbMATH Keywords: lower bound problem
MaRDI profile type: Publication
OpenAlex ID: W4250364420
DOI: 10.11650/TWJM/1500406479
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description: scientific article; zbMATH DE number 6074769