On Some Lacunary Generalized Difference Sequence Spaces of Invariant Means De ned by a Sequence of Modulus Function | Zendy

Gülcan Atıci | Zendy; Çiğdem A. Bektaş | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On Some Lacunary Generalized Difference Sequence Spaces of Invariant Means De ned by a Sequence of Modulus Function

Author(s) -

Gülcan Atıci,

Çiğdem A. Bektaş

Publication year - 2011

Publication title -

kyungpook mathematical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.287

H-Index - 19

eISSN - 1225-6951

pISSN - 0454-8124

DOI - 10.5666/kmj.2011.51.4.385

Subject(s) - lacunary function , mathematics , invariant (physics) , sequence (biology) , sequence space , modulo operation , limit of a sequence , pure mathematics , combinatorics , mathematical analysis , discrete mathematics , mathematical physics , banach space , algorithm , biology , genetics , limit (mathematics)

The aim of this paper is to introduce and study the sequence spaces ( w; ; F; p; q ) 1(∆ m ), ( w; ; F; p; q ) 1(∆ m ) and ( w; ; F; p; q ) 0(∆ m ), which arise from the no- tions of generalized difference sequence space, lacunary convergence, invariant mean and a sequence of Moduli F = ( f k). We establish some inclusion relations between these spaces under some conditions.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research