Some paranormed Euler sequence spaces of difference sequences of order m

KARAKAYA V., Savas E., Polat H.

Mathematica Slovaca, vol.63, no.4, pp.849-862, 2013 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 63 Issue: 4
  • Publication Date: 2013
  • Doi Number: 10.2478/s12175-013-0139-9
  • Journal Name: Mathematica Slovaca
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.849-862
  • Keywords: Euler transformation and difference sequence spaces of order m, Köthe-Toeplitz duals, matrix mapping, paranormed sequence space
  • Uşak University Affiliated: No

Abstract

The main purpose of this work is to extend the sequence spaces which are defined in [KARAKAYA, V.-POLAT, H.: Some new paranormed sequence spaces defined by Euler and difference operators, Acta Sci. Math. (Szeged) 76 (2010), 87-100] and [POLAT, H.-BASAR, F.: Some Euler spaces of difference sequences of order m, Acta Math. Sci. Ser. B Engl. Ed. 27 (2007), 254-266] by using difference operator of order m, and to give their alpha, beta and gamma duals. Furthermore, we characterize some classes of the related matrix transformations. © 2013 Versita Warsaw and Springer-Verlag Wien.