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

Résumé

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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Bibliographies de l'auteur

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
Publiée
2011-12-10
Rubrique
Research Articles