On q-hausdorff matrices

Selmanogullari T., Savaş E., Rhoades B.

Taiwanese Journal of Mathematics, cilt.15, sa.6, ss.2429-2437, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 6
  • Basım Tarihi: 2011
  • Doi Numarası: 10.11650/twjm/1500406479
  • Dergi Adı: Taiwanese Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2429-2437
  • Anahtar Kelimeler: Lower bound problem, q-cesáro matrices, q-hausdorff matrices
  • Uşak Üniversitesi Adresli: Hayır

Özet

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 < ∞.