Statistical approximation with a sequence of 2-Banach spaces

DOI10.1016/J.MCM.2011.08.026zbMath1266.40009OpenAlexW2038315996MaRDI QIDQ1930956

Mehmet Gürdal, Ahmet Sahiner

Publication date: 24 January 2013

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.08.026

zbMATH Keywords

statistical convergencestability conditionapproximation conditionsequence of linear operators

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Ideal and statistical convergence (40A35) Summability in abstract structures (40J05)

Related Items (3)

A-statistically localized sequences in n-normed spaces ⋮ Unnamed Item ⋮ ON $\mathcal{I}_2$-CONVERGENCE AND $\mathcal{I}_2$-CAUCHY DOUBLE SEQUENCES OF FUNCTIONS IN 2-NORMED SPACES

Cites Work

• \(A\)-statistical extension of the Korovkin type approximation theorem
• The approximation of continuous functions by positive linear operators
• Some approximation theorems via statistical convergence.
• Densities and summability
• On statistical limit points and the consistency of statistical convergence
• A characterization of Banach spaces with separable duals via weak statistical convergence
• Ideal convergence in 2-normed spaces
• Rates of \(A\)-statistical convergence of approximating operators
• The space of p-summable sequences and its natural n-norm
• Statistical Limit Points
• A MATRIX CHARACTERIZATION OF STATISTICAL CONVERGENCE
• On ℐ-Cauchy sequences in 2-normed spaces
• ON STATISTICAL CONVERGENCE
• A-Statistical convergence of approximating operators
• A Measure Theoretical Subsequence Characterization of Statistical Convergence
• 2‐metrische Räume und ihre topologische Struktur
• Sur la convergence statistique
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