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


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Bisgin M. C. , SÖNMEZ A.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2014
  • Doi Number: 10.1186/1029-242x-2014-274
  • Title of Journal : JOURNAL OF INEQUALITIES AND APPLICATIONS

Abstract

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.