SOME NEW SEQUENCE SPACES DERIVED BY THE COMPOSITION OF BINOMIAL MATRIX AND DOUBLE BAND MATRIX


SÖNMEZ A.

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, vol.9, no.1, pp.231-244, 2019 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.11948/2019.231
  • Title of Journal : JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
  • Page Numbers: pp.231-244

Abstract

In this paper, we construct three new sequence spaces b(0)(r,s) (G), b(c)(r,s)(G) and b(infinity)(r,s) (G) and mention some inclusion relations, where G is generalized difference matrix. Moreover, we give Schauder basis of the spaces b(c)(r,s)(G) and b(c)(r,s)(G). Afterward, we determine alpha-, beta- and gamma-duals of those spaces. Finally, we characterize some matrix classes related to the space b(c)(r,s)(G).