Results 311 to 320 of about 6,153,719 (345)
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International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2008
The goal of this work is the further development of neoclassical analysis, which extends the scope and results of the classical mathematical analysis by applying fuzzy logic to conventional mathematical objects, such as functions, sequences, and series.
Burgin, Mark, Duman, Oktay
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The goal of this work is the further development of neoclassical analysis, which extends the scope and results of the classical mathematical analysis by applying fuzzy logic to conventional mathematical objects, such as functions, sequences, and series.
Burgin, Mark, Duman, Oktay
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On $\mu $-statistical convergence
Proceedings of the American Mathematical Society, 2015Summability theory has historically been concerned with the notion of assigning a limit to a scalar-valued or a linear space-valued sequence, especially if the sequence is divergent. The idea of statistical convergence was formerly given under the name ``almost convergence'' by A.
Bilalov, B. T., Sadigova, S. R.
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, 2020
In this article, we apply weighted statistical convergence to obtain some general approximation results for Bernstein operators. We prove a weighted statistical Voronovskaja-type approximation theorem. We support our theoretical parts about approximation
Faruk Özger
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In this article, we apply weighted statistical convergence to obtain some general approximation results for Bernstein operators. We prove a weighted statistical Voronovskaja-type approximation theorem. We support our theoretical parts about approximation
Faruk Özger
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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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Analysis, 1985
A sequence \(\{x_ k\}^{\infty}_{k=1}\) is said to be statistically convergent to \(L\) provided that the density of the set \(\{k\in\mathbb N: | x_ K-L| \geq \varepsilon \}\) is 0 for each \(\varepsilon >0\) (the density of the set \(M\subset N\) is the number \(\lim_{n\to \infty}M(n)/n\), where \(M(n)\) denotes the number of elements of \(M\) not ...
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A sequence \(\{x_ k\}^{\infty}_{k=1}\) is said to be statistically convergent to \(L\) provided that the density of the set \(\{k\in\mathbb N: | x_ K-L| \geq \varepsilon \}\) is 0 for each \(\varepsilon >0\) (the density of the set \(M\subset N\) is the number \(\lim_{n\to \infty}M(n)/n\), where \(M(n)\) denotes the number of elements of \(M\) not ...
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International Journal of General Systems, 2019
The purpose of this paper is to introduce the new concept of weighted statistical convergence and strong weighted summability of order β for sequences of fuzzy numbers involving the ideas of difference operators and two sequences , of positive numbers ...
S. A. Mohiuddine, A. Asiri, B. Hazarika
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The purpose of this paper is to introduce the new concept of weighted statistical convergence and strong weighted summability of order β for sequences of fuzzy numbers involving the ideas of difference operators and two sequences , of positive numbers ...
S. A. Mohiuddine, A. Asiri, B. Hazarika
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On the Convergence of Statistical Search
IEEE Transactions on Systems, Man, and Cybernetics, 1976The convergence of statistical (random) search for the minimization of an arbitrary multimodal functional Q(w) is dealt with by using the theorems of convergence of random processes of Braverman and Rozonoer. It is shown that random search can be regarded as a gradient algorithm in the Q-domain.
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Weighted Lacunary Statistical Convergence
Iranian Journal of Science and Technology, Transactions A: Science, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Başarır, Metin, Konca, Şükran
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Numerical Functional Analysis and Optimization, 2019
In this article we introduce the concepts of -statistical convergence and Pp-strong convergence that are introduced via power series methods. Introducing a new type of uniform integrability with the help of power series method we obtain a relationship ...
M. Ünver, C. Orhan
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In this article we introduce the concepts of -statistical convergence and Pp-strong convergence that are introduced via power series methods. Introducing a new type of uniform integrability with the help of power series method we obtain a relationship ...
M. Ünver, C. Orhan
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Statistical convergence and measure convergence generated by a single statistical measure
Acta Mathematica Sinica, English Series, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng, Li Xin +2 more
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