On lacunary double statistical convergence in locally solid Riesz spaces

DOI10.1186/1029-242X-2013-99zbMath1288.40012WikidataQ59293662 ScholiaQ59293662MaRDI QIDQ2636709

Ekrem Savaş

Publication date: 31 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

idealfilterdouble \(\mathcal I_\theta\)-statistical-\(\tau\)-boundednessdouble \(\mathcal I_\theta\)-statistical-\(\tau\)-Cauchy conditiondouble \(\mathcal I_\theta\)-statistical-\(\tau\)-convergencedouble \(\mathcal I\)-statistical-\(\tau\)-convergence

Mathematics Subject Classification ID

Ordered topological linear spaces, vector lattices (46A40) Ideal and statistical convergence (40A35) Summability methods using statistical convergence (40G15)

Related Items (4)

Almost strongly Orlicz double sequence spaces of regular matrices and their applications to statistical convergence ⋮ Weighted lacunary statistical convergence ⋮ Double lacunary density and some inclusion results in locally solid Riesz spaces ⋮ Some sequence spaces of weight \(f\)

Cites Work

• Statistical convergence and statistical continuity on locally solid Riesz spaces
• A note on strong matrix summability via ideals
• Lacunary statistically convergent double sequences in probabilistic normed spaces
• On generalizations of certain summability methods using ideals
• Statistical convergence of double sequences in intuitionistic fuzzy normed spaces
• \(\Delta ^m\)-Strongly summable sequences spaces in 2-normed spaces defined by ideal convergence and an Orlicz function
• Lacunary statistical convergence
• Statistical convergence of double sequences
• A generalized statistical convergence via ideals
• $\bar \lambda $-statistically convergent double sequences in probabilistic normed spaces
• The Integrability of Certain Functions and Related Summability Methods
• Statistical convergence in a locally convex space

This page was built for publication: On lacunary double statistical convergence in locally solid Riesz spaces