On the ideal convergence of double sequences in locally solid Riesz spaces

DOI10.1155/2014/396254zbMath1470.40011OpenAlexW2020558623WikidataQ59037270 ScholiaQ59037270MaRDI QIDQ1724024

Syed Abdul Mohiuddine, Abdullah M. Alotaibi, Bipan Hazarika

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/396254

Mathematics Subject Classification ID

Multiple sequences and series (40B05) Ordered topological linear spaces, vector lattices (46A40) Ideal and statistical convergence (40A35) Summability in abstract structures (40J05)

Related Items (2)

Intuitionistic fuzzy ZweierI-convergent double sequence spaces defined by modulus function ⋮ Intuitionistic fuzzy I-convergent sequence spaces defined by compact operator

Cites Work

• Ideal convergence of double sequences in random 2-normed spaces
• Regularly \((\mathcal I_2, \mathcal I)\)-convergence and regularly \((\mathcal I_2, \mathcal I)\)-Cauchy double sequences of fuzzy numbers
• Ideal quasi-Cauchy sequences
• Statistical summability through a lacunary sequence in locally solid Riesz spaces
• Statistical convergence and statistical continuity on locally solid Riesz spaces
• A Korovkin's type approximation theorem for periodic functions via the statistical summability of the generalized de la Vallée Poussin mean
• Statistical convergence of double sequences in intuitionistic fuzzy normed spaces
• Summability in topological spaces
• Statistical convergence in function spaces
• Statistical convergence in topology
• On the ideal convergence of double sequences in intuitionistic fuzzy normed spaces
• Lacunary statistical convergence in topological groups
• Statistical convergence of double sequences
• Generalized statistical convergence and convergence free spaces
• \(\mathcal F^{\mathcal K}\)-convergence in the topology induced by random 2-normed spaces
• \(\mathcal I\)-convergence
• Statistical convergence of double sequences in locally solid Riesz spaces
• Statistical summability of double sequences through de la Vallée-Poussin mean in probabilistic normed spaces
• Double lacunary density and some inclusion results in locally solid Riesz spaces
• Generalized weighted statistical convergence and application
• A new variant of statistical convergence
• Ideal convergence of random variables
• Ideal convergence in 2-normed spaces
• Statistical convergence of double sequences in fuzzy normed spaces
• On generalized difference ideal convergence in random 2-normed spaces
• Lacunary generalized difference statistical convergence in random 2-normed spaces
• I-Monotonic and I-Convergent Sequences
• On I-convergence in random 2-normed spaces
• $\bar \lambda $-statistically convergent double sequences in probabilistic normed spaces
• On ideal convergence in probabilistic normed spaces
• The Integrability of Certain Functions and Related Summability Methods
• $I$ and $I^*$-convergence in topological spaces
• On ℐ-Cauchy sequences in 2-normed spaces
• I-convergent sequence spaces associated with multiplier sequences
• I and I*-convergence of double sequences
• ON STATISTICAL CONVERGENCE
• Statistical convergence in a locally convex space
• A Measure Theoretical Subsequence Characterization of Statistical Convergence
• Sur la convergence statistique
• Generalized Asymptotic Density
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the ideal convergence of double sequences in locally solid Riesz spaces