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Convergence topologies and f-statistically Cauchy sequences

Journal of Nonlinear Functional Analysis
Modulus statistical convergence has already been transported to the general scope of uniform spaces. Here, the novel notion of f∗-statistically Cauchy sequence is introduced and studied in uniform spaces. Certain properties are verified, in particular, the relationship between f∗-statistically Cauchy sequences and f-statistically Cauchy sequences is ...
Ramazan Kama   +1 more
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On I-Cauchy sequences

2007
The concept of I-convergence is a generalization of statistical convergence and it is dependent on the notion of the ideal I of subsets of the set N of positive integers. In this paper we prove a decomposition theorem for I-convergent sequences and we introduce the notions of I Cauchy sequence and I*-Cauchy sequence, and then study their certain ...
PEHLİVAN, Serpil   +2 more
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Weak Cauchy Sequences in L 1 (E)

American Journal of Mathematics, 1984
Let E be a Banach space, and let \((f_ n)\) be an equi-integrable sequence of \(L^ 1(E)\). Then there is a sequence \(g_ n\in co(f_ n,f_{n+1},...)\) such that, for almost each \(\omega\), either the sequence \((g_ n(\omega))\) is weak-Cauchy or it is equivalent to the unit vector basis of \(\ell^ 1\).
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?-quasi-Cauchy sequences

2011
Recently, it has been proved that a real-valued function defined on a subset E of R, the set of real numbers, is uniformly continuous on E if and only if it is defined on E and preserves quasi-Cauchy sequences of points in E where a sequence is called quasi-Cauchy if (?xn) is a null sequence.
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Metric-Cauchy sequence for wheeled mobile robot navigation

Materials Today: Proceedings, 2021
Bhumeshwar Patle   +2 more
exaly  

A Note on Cauchy Sequences

Mathematics Magazine, 1995
openaire   +2 more sources

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