Generalized statistical convergence in 2-normed spaces | Zendy

Bipan Hazarika | Zendy

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Generalized statistical convergence in 2-normed spaces

Author(s) -

Bipan Hazarika

Publication year - 2013

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2013.17.12

Subject(s) - mathematics , convergence (economics) , sequence (biology) , infinity , limit of a sequence , normed vector space , modes of convergence (annotated index) , pure mathematics , discrete mathematics , mathematical analysis , topological vector space , topological space , genetics , limit (mathematics) , economics , biology , economic growth , isolated point

In this paper we introduce the concept of λ-statistical convergence in 2-normed spaces. Some inclusion relations between the sets of statistically convergent, λ-statistically convergent and statistically λ-convergent sequences in 2-normed spaces are established, where λ = (λm) is a non-decreasing sequence of positive numbers tending to infinity such that λ m+1 ≤ λ m + 1, λ 1 = 1.

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