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Absolute Almost Convergence and Riesz Convergence

2014
In this chapter, we define the notion of almost bounded variation and absolute almost convergence for double sequences. We use the definition of absolute almost convergence to define absolute almost conservative and absolute almost regular matrices and find necessary and sufficient conditions to characterize these matrices.
M. Mursaleen, S. A. Mohiuddine
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Almost Everywhere Convergence

2016
We have seen in Part II the importance of a.e. convergence in integration theory. The purpose of this last chapter of our book is to clarify its relationship to other convergence notions.
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Almost Sure Convergence

2012
This chapter studies essentially Strong Laws of Large Numbers (SLLN) for associated variables and their applications to the characterization of asymptotics of statistical estimators under associated sampling. It is possible to prove SLLN under fairly general assumptions, but, in order to prove characterizations of convergence rates, a closer care on ...
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Stability bounds and almost sure convergence of improved particle swarm optimization methods

Research in the Mathematical Sciences, 2021
Xin T. Tong, K. P. Choi, T. Lai, W. Wong
semanticscholar   +1 more source

Almost convergence and Euler totient matrix

Annals of Functional Analysis, 2019
Serkan Demiriz, M. İlkhan, E. Kara
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Almost Sure Convergence.

Journal of the American Statistical Association, 1975
M. H. D., William F. Stout
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Regularity and almost sure convergence

1995
Summary: We give a sufficient condition for almost sure convergence in the sense of \textit{E. Hensz} and \textit{R. Jajte} [Math. Z. 193, 413-429 (1986; Zbl 0613.46056)] to be equivalent to almost uniform convergence.
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