On q-hausdorff matrices

Selmanogullari T., Savaş E., Rhoades B.

Taiwanese Journal of Mathematics, vol.15, no.6, pp.2429-2437, 2011 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 6
  • Publication Date: 2011
  • Doi Number: 10.11650/twjm/1500406479
  • Journal Name: Taiwanese Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2429-2437
  • Keywords: Lower bound problem, q-cesáro matrices, q-hausdorff matrices
  • Uşak University Affiliated: No

Abstract

The q-Hausdorff matrices are defined in terms of symbols from q-mathematics. The matrices become ordinary Hausdorrf matrices as q → 1. In this paper, we consider the q-analogues of the Cesáro matrix of order one, both for 0 < q < 1 and q > 1, and obtain the lower bounds for these matrices for any 1 < p < ∞.