Difference sequence spaces derived by using a generalized weighted mean

Polat H., KARAKAYA V., Şimşek N.

APPLIED MATHEMATICS LETTERS, vol.24, no.5, pp.608-614, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 5
  • Publication Date: 2011
  • Doi Number: 10.1016/j.aml.2010.11.020
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.608-614
  • Keywords: Difference sequence space, Generalized weighted mean, AK and AD properties, The alpha-, beta- and gamma-duals and bases of sequences, Matrix mappings, MATRIX TRANSFORMATIONS, EULER
  • Yıldız Technical University Affiliated: Yes


In this work, we define new sequence spaces by combining a generalized weighted mean and a difference operator. Afterward, we investigate topological structures, which have completeness, AK-property, and AD-property. Also, we compute the alpha-, beta- and gamma-duals, and obtain bases for these sequence spaces. Finally, the necessary and sufficient conditions on an infinite matrix belonging to the classes (c (u, v, Delta) : l(infinity)) and (c (u, v, Delta) : c) are obtained. (C) 2010 Elsevier Ltd. All rights reserved.