Statistical convergence and measure convergence generated by a single statistical measure

DOI10.1007/s10114-016-5025-2zbMath1355.40002OpenAlexW2345621563MaRDI QIDQ296170

Xian Geng Zhou, Li Hua Lin, Li Xing Cheng

Publication date: 14 June 2016

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-5025-2

zbMATH Keywords

extreme pointsstatistical convergenceultrafilterstatistical measure

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Ideal and statistical convergence (40A35)

Related Items (1)

Conglomerated filters and statistical measures

Cites Work

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• More about the kernel convergence and the ideal convergence
• Some further results on ideal convergence in topological spaces
• Sets of ideal convergence of sequences of quasi-continuous functions
• A functional characterization of measures and the Banach-Ulam problem
• On a generalized Mazur-Ulam question: Extension of isometries between unit spheres of Banach spaces
• Convex functions, monotone operators and differentiability.
• Some results related with statistical convergence and Berezin symbols
• Ideal convergence of continuous functions
• Ideal version of Egorov's theorem for analytic P-ideals
• Statistical convergence in topology
• On real-valued measures of statistical type and their applications to statistical convergence
• On the ideal convergence of subsequences and rearrangements of a real sequence
• Weak statistical convergence and weak filter convergence for unbounded sequences
• Measure theory of statistical convergence
• Lacunary statistical convergence
• Some approximation theorems via statistical convergence.
• Generalized statistical convergence and convergence free spaces
• Densities and summability
• \(\mathcal I\)-convergence
• A characterization of Banach spaces with separable duals via weak statistical convergence
• On ideal equal convergence
• Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes
• On statistical measure theory
• Modular filter convergence theorems for Urysohn integral operators and applications
• Ball-covering property of Banach spaces
• The Banach principle for ideal convergence in the classical and noncommutative context
• Weak and point-wise convergence in \(C(K)\) for filter convergence
• A note on non-support points, negligible sets, Gâteaux differentiability and Lipschitz embeddings
• Some topological properties of support points of convex sets
• The point of continuity property, neighbourhood assignments and filter convergences
• On ideal convergence in probabilistic normed spaces
• On Strong Matrix Summability with Respect to a Modulus and Statistical Convergence
• ON STATISTICAL CONVERGENCE
• l ∞ /c 0 has no Equivalent Strictly Convex Norm
• A Measure Theoretical Subsequence Characterization of Statistical Convergence
• On injective Banach spaces and the spaces $C\left( S \right)$
• Sur la convergence statistique
• On extreme points of regular convex sets

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