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

  • 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
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).

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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
Published
2011-12-10
Section
Research Articles