Two new sequence spaces generated by the composition of mth order generalized difference matrix and lambda matrix


Bisgin M. C. , SÖNMEZ A.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası:
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1186/1029-242x-2014-274
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS

Özet

In this work, we introduce two sequence spaces c(0)(lambda) (G(m)) and c(lambda) (G(m)) generated by the composition of mth order generalized difference matrix and lambda matrix and define an isomorphism between new sequence spaces and classical sequence spaces. Afterward, we investigate inclusion relations and obtain the Schauder basis of those spaces. Furthermore, we determine their alpha-, beta-, and gamma-duals. Lastly, we characterize some matrix classes related to those spaces.