Open Access
2011 ON $q$-HAUSDORFF MATRICES
T. Selmanogullari, E. Savaş, B. E. Rhoades
Taiwanese J. Math. 15(6): 2429-2437 (2011). DOI: 10.11650/twjm/1500406479

Abstract

The q-Hausdorff matrices are defined in terms of symbols from q-mathematics. The matrices become ordinary Hausdorrf matrices as $q \rightarrow 1$. In this paper, we consider the q-analogues of the Cesàro matrix of order one, both for $0 \lt q \lt 1$ and $q \gt 1$, and obtain the lower bounds for these matrices for any $1 \lt p \lt \infty$.

Citation

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T. Selmanogullari. E. Savaş. B. E. Rhoades. "ON $q$-HAUSDORFF MATRICES." Taiwanese J. Math. 15 (6) 2429 - 2437, 2011. https://doi.org/10.11650/twjm/1500406479

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 1268.40005
MathSciNet: MR2896126
Digital Object Identifier: 10.11650/twjm/1500406479

Subjects:
Primary: 40C05
Secondary: 40G05

Keywords: $q$-Cesàro matrices , $q$-Hausdorff matrices , lower bound problem

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 6 • 2011
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