On a class of generalized sequences related to the â„“^p space defined by Orlicz functions

Authors

  • Ayhan Esi Adiyaman University Science and Art Faculty Department of Mathematics
  • Mehmet Açikgöz University of Gaziantep Faculty of Arts and Science Department of Mathematics
  • Ayten Esi Adiyaman University Science and Art Faculty Department of Mathematics

DOI:

https://doi.org/10.5269/bspm.v31i1.15472

Keywords:

Seminorm, complete, Orlicz function, solid space

Abstract

In this article, we introduce the sequence space m(M,A, φ, q) on generalizing the sequence space m(φ) which was defined by Sargent [8], defined by Orlicz functions and infinite  matrices. We study its different properties like solidity, completeness, etc. Also we obtain  some inclusion results involving the sequence space m(M,A, φ, q).

Author Biographies

  • Ayhan Esi, Adiyaman University Science and Art Faculty Department of Mathematics
    02040,
    Adiyaman, Turkey
  • Mehmet Açikgöz, University of Gaziantep Faculty of Arts and Science Department of Mathematics
    27310,
    Gaziantep, Turkey

Downloads

Published

2011-12-10

Issue

Section

Research Articles