The \(\lambda\)-statistical convergence in Riesz spaces

DOI10.1134/S199508022201005XzbMath1497.40005OpenAlexW4297798908MaRDI QIDQ2121874

Abdullah Aydın, Et, Mikail, Muhammed Çinar

Publication date: 5 April 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s199508022201005x

zbMATH Keywords

statistical convergenceRiesz spaceorder convergence\( \lambda \)-statistical order convergence\( \lambda \)-statistically monotone

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Ordered topological linear spaces, vector lattices (46A40) Ideal and statistical convergence (40A35) Summability in abstract structures (40J05)

Cites Work

• On pointwise and uniform statistical convergence of order \({\alpha}\)
• Statistical order convergence in Riesz spaces
• ON STATISTICAL CONVERGENCE
• Statistical convergence in a locally convex space
• Some Cesàro-Type Summability Spaces
• Statistical limit superior and limit inferior
• THE STATISTICAL MULTIPLICATIVE ORDER CONVERGENCE IN RIESZ ALGEBRAS
• The statistically unbounded τ-convergence on locally solid Riesz spaces
• Statistically multiplicative convergence on locally solid Riesz algebras
• A CHARACTERIZATION OF u-UNIFORMLY COMPLETENESS OF RIESZ SPACES IN TERMS OF STATISTICAL u-UNIFORMLY PRE-COMPLETENESS
• Quality control by sampling
• Sur la convergence statistique
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