λ-statistical convergence in n-normed spaces

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Hazarika B., Savaş E.

Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, vol.21, no.2, pp.141-153, 2013 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 21 Issue: 2
• Publication Date: 2013
• Doi Number: 10.2478/auom-2013-0028
• Journal Name: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.141-153
• Keywords: λ-statistical convergence, n-norm, Statistical convergence
• Uşak University Affiliated: No

Abstract

In this paper, we introduce the concept of λ-statistical convergence in n-normed spaces. Some inclusion relations between the sets of statistically convergent and λ-statistically convergent sequences are established. We find its relations to statistical convergence, (C,1)-summability and strong (V, λ)-summability in n-normed spaces.