\(\lambda\)-statistical convergence in paranormed space (Q2015282)
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scientific article; zbMATH DE number 6306575
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\lambda\)-statistical convergence in paranormed space |
scientific article; zbMATH DE number 6306575 |
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\(\lambda\)-statistical convergence in paranormed space (English)
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23 June 2014
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Summary: The concept of \(\lambda\)-statistical convergence for sequences of real numbers was introduced by \textit{Mursaleen} [Math. Slovaca 50, No. 1, 111--115 (2000; Zbl 0953.40002)]. In this paper, we prove a decomposition theorem for \(\lambda\)-statistical convergence. We also define and study \(\lambda\)-statistical convergence, \(\lambda\)-statistically Cauchy sequences, and strong \(\lambda_p\)-summability in a paranormed space.
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\(\lambda\)-statistical convergence
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