On $$\mathcal {I}$$-Statistically Order Pre Cauchy Sequences in Riesz Spaces

DOI10.1007/978-981-15-0422-8_12zbMath1454.40004OpenAlexW3010674504MaRDI QIDQ3300018

Publication date: 27 July 2020

Published in: Mathematical Analysis and Applications in Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-0422-8_12

zbMATH Keywords

ideal filter Riesz spaces $ \mathcal{I} $-statistical order convergence $ \mathcal{I} $-statistical order pre Cauchy condition

Mathematics Subject Classification ID

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

Cites Work

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$I$ and $I^*$-convergence in topological spaces
I and I*-convergence of double sequences
ON STATISTICAL CONVERGENCE
Statistical convergence in a locally convex space
R-Type Summability Methods, Cauchy Criteria, P-Sets and Statistical Convergence
STATISTICALLY PRE-CAUCHY SEQUENCES
Schur lemma and limit theorems in lattice groups with respect to filters
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Sur la convergence statistique

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