Measure theory of statistical convergence

DOI10.1007/s11425-008-0017-zzbMath1189.60014OpenAlexW2012600825MaRDI QIDQ1042816

Hui Liu, Yong-Yi Lan, Guochen Lin, Li Xing Cheng

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0017-z

zbMATH Keywords

subdifferentialBanach spacestatistical convergencestatistical measure

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Applications of functional analysis in probability theory and statistics (46N30) Convergence and divergence of infinite limiting processes (40A99) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

Related Items (14)

Statistical convergence and measure convergence generated by a single statistical measure ⋮ Statistical convergence of nets on locally solid Riesz spaces ⋮ A functional characterization of measures and the Banach-Ulam problem ⋮ More about the kernel convergence and the ideal convergence ⋮ \( \mathcal{I} \)-connected spaces and the images of metric spaces ⋮ Lacunary ideal convergence of multiple sequences in probabilistic normed spaces ⋮ On statistical measure theory ⋮ On real-valued measures of statistical type and their applications to statistical convergence ⋮ Unnamed Item ⋮ Conglomerated filters and statistical measures ⋮ On topological spaces defined by \(\mathcal{I} \)-convergence ⋮ Lacunary ideal summability and its applications to approximation theorem ⋮ On ideal summability and a Korovkin type approximation theorem ⋮ s-Sequence-Covering Mappings on Metric Spaces

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