Some New Double-Sequence Spaces in 2-Normed Spaces Defined by Ideal Convergence and an Orlicz Function | Zendy

Orhan Tuǧ | Zendy; Mutlay Doğan | Zendy; Abdullah Kurudirek | Zendy

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Some New Double-Sequence Spaces in 2-Normed Spaces Defined by Ideal Convergence and an Orlicz Function

Author(s) -

Orhan Tuǧ,

Mutlay Doğan,

Abdullah Kurudirek

Publication year - 2012

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.5402/2012/524962

Subject(s) - sequence (biology) , mathematics , ideal (ethics) , birnbaum–orlicz space , convergence (economics) , modes of convergence (annotated index) , pure mathematics , interpolation space , function (biology) , limit of a sequence , function space , sequence space , topological tensor product , functional analysis , topological space , mathematical analysis , topological vector space , banach space , limit (mathematics) , philosophy , economic growth , chemistry , genetics , biology , biochemistry , epistemology , evolutionary biology , economics , gene , isolated point

We generalize some sequence spaces from single to double, we study some topological properties of these double sequence spaces by using ideal convergence, difference sequence spaces, and an Orlicz function in 2-normed spaces, and we give some results related to these sequence spaces.

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