A New Version of Uniform Integrability via Power Series Summability Methods
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Publication:5074423
DOI10.1137/S0040585X97T990770zbMath1489.60040MaRDI QIDQ5074423
Andrew Rosalsky, Andrei I. Volodin, Manuel Ordóñez Cabrera, Mehmet Ünver
Publication date: 9 May 2022
Published in: Theory of Probability & Its Applications (Search for Journal in Brave)
Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Abel, Borel and power series methods (40G10)
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Cites Work
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- Some further results on ideal convergence in topological spaces
- Summability in topological spaces
- \(A\)-distributional summability in topological spaces
- Abel summability in topological spaces
- Statistical convergence in topology
- Convergence of weighted sums of random variables and uniform integrability concerning the weights
- Some approximation theorems via statistical convergence.
- Korovkin type theorems for Cheney-Sharma operators via summability methods
- Approximation by positive linear operators in modular spaces by power series method
- Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability
- Formal power series and linear systems of meromorphic ordinary differential equations
- Correction to: ``On the concept of \(B\)-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense
- On the concept of \(A\)-statistical uniform integrability and the law of large numbers
- An application of \(\varphi\)-subgaussian technique to Fourier analysis
- Fatou's Lemma for Weakly Converging Measures under the Uniform Integrability Condition
- Statistical Convergence with Respect to Power Series Methods and Applications to Approximation Theory
- Sur la convergence statistique
- Convergence of randomly weighted sums of Banach space valued random elements and uniform integrability concerning the random weights
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