Approximation theory in 2-Banach spaces

DOI10.1016/J.NA.2009.01.030zbMath1185.46004OpenAlexW2062292597MaRDI QIDQ1030057

Mehmet Gürdal, Işıl Açık, Ahmet Sahiner

Publication date: 1 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.030

zbMATH Keywords

convergenceapproximationCauchy sequence2-Banach space\(T\)-convergence

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.) (46A70) Approximation by positive operators (41A36)

Related Items (16)

Generalized statistical relative uniform ϕ̃-convergence of triple sequences of functions ⋮ An Orlicz extension of difference sequences on real linear \(n\)-normed spaces ⋮ On lacunary ideal convergence in random \(n\)-normed space ⋮ A-statistically localized sequences in n-normed spaces ⋮ On some new sequence spaces in 2-normed spaces using ideal convergence and an Orlicz function ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On two-valued measure and double statistical convergence in 2-normed spaces ⋮ Unnamed Item ⋮ On the stability of a cubic functional equation in random 2-normed spaces ⋮ \(\mathcal I\)-statistical convergence in 2-normed space ⋮ Unnamed Item ⋮ Ideal convergence characterization of the completion of linear \(n\)-normed spaces ⋮ \(A\)-sequence spaces in 2-normed space defined by ideal convergence and an Orlicz function ⋮ Two valued measure and some new double sequence spaces in 2-normed spaces ⋮ ON $\mathcal{I}_2$-CONVERGENCE AND $\mathcal{I}_2$-CAUCHY DOUBLE SEQUENCES OF FUNCTIONS IN 2-NORMED SPACES

Cites Work

• The approximation of continuous functions by positive linear operators
• Some approximation theorems via 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
• Contributions to Non-Archimedean Functional Analysis
• A-Statistical convergence of approximating operators
• Lineare 2‐normierte Räume
• 2‐Banach Spaces
• Über 2‐BANACH‐Räume
• 2‐metrische Räume und ihre topologische Struktur
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