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On some classical properties of normed spaces via generalized vector valued almost convergence
Mathematica Slovaca, 2022Recently, the authors interested some new problems on multiplier spaces of Lorentz’ almost convergence and fλ-convergence as a generalization of almost convergence.
M. Karakuş, F. Başar
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Strongly deferred almost convergence and deferred almost statistical convergence
MATHEMATICA, 2022This paper introduces the concepts of deferred almost convergence, strongly deferred almost convergence and deferred almost statistical convergence, and investigates the relationship between these concepts. Also, it gives the notions of asymptotical deferred almost equivalence and asymptotical deferred almost statistical equivalence.
Meryem Ece Alkan, Fatih Nuray
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International Journal of General Systems, 2021
The main aim of this article is to study strongly almost λ-convergence and statistically almost λ-convergence of complex uncertain sequences in two aspects.
J. Nath +3 more
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The main aim of this article is to study strongly almost λ-convergence and statistically almost λ-convergence of complex uncertain sequences in two aspects.
J. Nath +3 more
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On Almost Convergent and Statistically Convergent Subsequences
Acta Mathematica Hungarica, 2001A bounded sequence \(s=(s_{n})\) is almost convergent to \(L\) if \[ \lim_{k}\frac{1}{k}\sum_{i=0}^{n-1}s_{n+i}=L,\quad \text{uniformly in }n . \] We write \(f\)-\(\lim s=L\) and \(\mathbf F=\{s=(s_{n}): f\text{-}\lim s=L\text{ for some }L\}.\) The sequence \(s=(s_{n})\) is called statistically convergent to \(L\) provided that \(\lim_{n}n^{-1}\left ...
Miller, H. I., Orhan, C.
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2000
We define two notions of convergence which seem to be of some interest, also for their meaning in probability theory, and which, apparently, have not yet been considered explicitly in the literature. We study these notions and compare them with the most familiar notions of convergence.
Emanuele Casini, Pier Luigi Papini
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We define two notions of convergence which seem to be of some interest, also for their meaning in probability theory, and which, apparently, have not yet been considered explicitly in the literature. We study these notions and compare them with the most familiar notions of convergence.
Emanuele Casini, Pier Luigi Papini
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Acta Mathematica Hungarica, 1999
Regular convergence of multiple sequences, introduced by G.H.Hardy and F.Moricz, can be generalized to almost convergent sequences in various ways. In the paper classes of almost convergent double sequences with a kind of uniform regularity are studied. These classes are in some respects similar to the class of regular sequences.
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Regular convergence of multiple sequences, introduced by G.H.Hardy and F.Moricz, can be generalized to almost convergent sequences in various ways. In the paper classes of almost convergent double sequences with a kind of uniform regularity are studied. These classes are in some respects similar to the class of regular sequences.
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Periodica Mathematica Hungarica, 1993
A net \((f_ n)\) of functions on a topological space \(X\) to a uniform space \((Y,{\mathcal U})\) converges almost uniformly to a function \(f\) at \(x_ 0\in X\) if for each \(U\in{\mathcal U}\) there exists a neighborhood \(W\) of \(x_ 0\) such that eventually \((f_ n(x),f(x))\in U\) for each \(x\in W\).
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A net \((f_ n)\) of functions on a topological space \(X\) to a uniform space \((Y,{\mathcal U})\) converges almost uniformly to a function \(f\) at \(x_ 0\in X\) if for each \(U\in{\mathcal U}\) there exists a neighborhood \(W\) of \(x_ 0\) such that eventually \((f_ n(x),f(x))\in U\) for each \(x\in W\).
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Almost Everywhere Convergent Fourier Series
Journal of Fourier Analysis and Applications, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carro, M. J. +2 more
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Strongly almost convergence in sequences of complex uncertain variables
, 2021J. Nath +3 more
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2017
This chapter gives the basic theory of almost sure convergence and Kolmogorov’s strong law of large numbers (1933) according to which the empirical mean of an iid sequence of integrable random variables converges almost surely to the probabilistic mean (the expectation).
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This chapter gives the basic theory of almost sure convergence and Kolmogorov’s strong law of large numbers (1933) according to which the empirical mean of an iid sequence of integrable random variables converges almost surely to the probabilistic mean (the expectation).
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