Some generalized difference statistically convergent sequence spaces in 2-normed space

Başarir M., Konca Ş., KARA E. E.

Journal of Inequalities and Applications, vol.2013, 2013 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 2013
  • Publication Date: 2013
  • Doi Number: 10.1186/1029-242x-2013-177
  • Journal Name: Journal of Inequalities and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: 2-norm, completeness, generalized difference sequence space, paranorm, solidity, statistical convergence
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

In this paper, we define a new generalized difference matrix [InlineEquation not available: see fulltext.] and introduce some [InlineEquation not available: see fulltext.]-difference statistically convergent sequence spaces in a real linear 2-normed space. We also investigate some topological properties of these spaces. MSC: 40A05, 46A45, 46E30. © 2013 BaşarIr et al.; licensee Springer.