Paranormed Sequence Space of Non-absolute Type Founded Using Generalized Difference Matrix


CANDAN M. , Gunes A.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, cilt.85, ss.269-276, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 85 Konu: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s40010-015-0204-6
  • Dergi Adı: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
  • Sayfa Sayıları: ss.269-276

Özet

The present paper introduces the generalized Riesz difference sequence space r(q)(B-u(p)) that consists of all sequences whose (RuB)-B-q-transforms are in the space l(p), where B stands for generalized difference matrix. Some topological properties of the new brand sequence space have been investigated as well as alpha- beta- and gamma-duals. In addition to this, we have also constructed the basis of r(q)(B-u(p)). At the end of the article, we characterize a matrix class on the sequence space. These results are more general and more comprehensive than the corresponding results in the literature.