Results 291 to 300 of about 976,015 (308)
Some of the next articles are maybe not open access.
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
openaire +3 more sources
Generalized statistical convergence
Information Sciences, 2004A new concept of statistical convergence, \(\mathcal{B}\)-statistical convergence, that includes the usual statistical convergence, \(A\)-statistical convergence, lacunary statistical convergence, as particular cases, is introduced. Correspondingly, \(\mathcal{B}\)-statistical limit points, \(\mathcal{B}\)-statistical cluster points, etc., are defined ...
Mursaleen, Mohammad, Edely, Osama H. H.
openaire +3 more sources
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.
openaire +2 more sources
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.
openaire +2 more sources
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 ...
openaire +1 more source
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 ...
openaire +1 more source
LEBESGUE DENSITY AND STATISTICAL CONVERGENCE
Real Analysis Exchange, 2021The notion of density points of a Lebesgue measurable subset of real line is well known, as well as the famous Lebesgue Density Theorem. Many authors considered several generalizations of the concept in different directions (see works of \textit{B.~Aniszczyk} and \textit{R.~Frankiewicz} [Bull. Pol. Acad. Sci., Math. 34, 211--213 (1986; Zbl 0591.54002)]
Bienias, Marek, Głąb, Szymon
openaire +1 more source
Restricting statistical convergence
Acta Mathematica Hungarica, 2011The ``ordinary'' concept of lower- and upper-asymptotic density for a (double) sequence is well known, along with the concept of a sequence being statistically convergent. The authors of the paper under review use an extension of the concept in the following direction: Definition 1. Let \(A\subset\mathbb N\) and denote for every pair \(m,n\in\mathbb N\)
Bhunia, S. +2 more
openaire +2 more sources
Generalized Limits and Statistical Convergence
Mediterranean Journal of Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yurdakadim, T. +3 more
openaire +2 more sources
Numerical Functional Analysis and Optimization, 2008
In this work, using the concept of natural density, we introduce the notion of rough statistical convergence. We define the set of rough statistical limit points of a sequence and obtain two statistical convergence criteria associated with this set. Later, we prove that this set is closed and convex. Finally, we examine the relations between the set of
openaire +2 more sources
In this work, using the concept of natural density, we introduce the notion of rough statistical convergence. We define the set of rough statistical limit points of a sequence and obtain two statistical convergence criteria associated with this set. Later, we prove that this set is closed and convex. Finally, we examine the relations between the set of
openaire +2 more sources
WEIGHTED STATISTICAL CONVERGENCE
2009In this paper, the notion of N, pn - summability to generalize the concept of statisticalconvergence is used. We call this new method weighted statistically convergence. We also establish itsrelationship with statistical convergence, C,1-summability and strong n N, p -summability.
Karakaya, Vatan, Chishti, T.A
openaire +2 more sources