Measure theory of statistical convergence
From MaRDI portal
Publication:1042816
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
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
Cites Work
- Some results related with statistical convergence and Berezin symbols
- Generalized statistical convergence
- \(A\)-statistical extension of the Korovkin type approximation theorem
- Rates of \(A\)-statistical convergence of positive linear operators
- Tauberian theorems for statistically convergent double sequences
- Statistical boundedness and statistical core of double sequences
- On strong almost \(A\)-summability with respect to a modulus and statistical convergence
- Convex functions, monotone operators and differentiability
- A criterion for \(A\)-statistical convergence
- Tauberian theorems via statistical convergence
- Strong integral summability and the Stone-Čech compactification of the half-line
- Invariant statistical convergence and \(A\)-invariant statistical convergence
- Lacunary statistical convergence
- On statistically convergent and statistically Cauchy sequences
- Lacunary statistical convergence in topological groups
- Statistical gap Tauberian theorems in metric spaces
- Some approximation theorems via statistical convergence.
- Sequential definitions of continuity for real functions.
- Statistical convergence of double sequences
- Statistical convergence of multiple sequences
- On some new sequence spaces of fuzzy numbers
- Generalized statistical convergence and convergence free spaces
- On strongly \(\lambda\)-summable sequences of fuzzy numbers
- Statistical limit point theorems
- Strong almost convergence and almost \(\lambda\)-statistical convergence
- On almost convergent and statistically convergent subsequences
- Some sequence spaces and statistical convergence
- Lacunary strong \(A\)-convergence with respect to a sequence of modulus functions
- Tauberian conditions, under which statistical convergence follows from statistical summability \((C,1)\)
- On pointwise statistical convergence
- A classical Olivier's theorem and statistical convergence
- Uniformly maldistributed sequences in a strict sense
- Matrix maps on sequence spaces associated with sets of integers
- On statistical limit points and the consistency of statistical convergence
- Lacunary statistical convergence of sequences of fuzzy numbers
- A characterization of Banach spaces with separable duals via weak statistical convergence
- Lacunary statistical summability
- Statistical approximation theorems by \(k\)-positive linear operators
- Rates of \(A\)-statistical convergence of approximating operators
- Strongly almost \((w, \lambda)\)-summable sequences defined by Orlicz functions
- Tauberian conditions under which statistical convergence follows from statistical summability by weighted means
- Statistical Limit Points
- Statistical approximation by generalized Meyer-König and Zeller type operators
- A MATRIX CHARACTERIZATION OF STATISTICAL CONVERGENCE
- Two valued measures and summability
- Statistical Convergence of Infinite Series
- μ-Statistically Convergent Function Sequences
- A Class of Statistical and σ-Conservative Matrices
- A Korovkin type approximation theorem in statistical sense
- Remarks on statistical and $I$-convergence of series
- On Strong Matrix Summability with Respect to a Modulus and Statistical Convergence
- Sur Les Densités de Certaines Suites D'Entiers
- ON STATISTICAL CONVERGENCE
- Sequence spaces defined by a modulus
- Statistical convergence in a locally convex space
- A Tauberian theorem for statistical convergence
- R-Type Summability Methods, Cauchy Criteria, P-Sets and Statistical Convergence
- Matrix Summability of Statistically Convergent Sequences
- Statistical limit superior and limit inferior
- ON ASYMPTOTICALLY STATISTICAL EQUIVALENT SEQUENCES
- A-Statistical convergence of approximating operators
- STATISTICAL APPROXIMATION FOR PERIODIC FUNCTIONS
- SOME SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS
- ON LACUNARY STATISTICAL LIMIT POINTS
- ON A NEW CLASS OF SEQUENCES
- Regular statistical convergence of double sequences
- Statistical approximation by positive linear operators
- Statistical Cluster Points of Sequences in Finite Dimensional Spaces
- A Measure Theoretical Subsequence Characterization of Statistical Convergence
- EQUIVALENCE RESULTS FOR CESÀRO SUBMETHODS
- Über die verallgemeinerte de la Vallée-Poussinsche summierbarkeit allgemeiner Orthogonalreihen
- Sur la convergence statistique
- Some new sequence spaces defined by a sequence of Orlicz functions
- A note on the completeness of the space of bounded sequences with values in a Hausdorff locally convex topological vector space
- \(\Delta^m\)-statistical convergence
- On generalized statistically convergent sequences
- On statistically convergent sequences of fuzzy numbers
- 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
- 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
- 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Measure theory of statistical convergence