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Statistical Convergence in Function Spaces [PDF]
Abstract and Applied Analysis, 2011 We study statistical versions of several classical kinds of convergence of sequences of functions between metric spaces (Dini, Arzelà, and Alexandroff) in different function spaces.
Agata Caserta +2 more
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On statistical convergence and strong Cesàro convergence by moduli [PDF]
Journal of Inequalities and Applications, 2019 In this paper we will establish a result by Connor, Khan and Orhan (Analysis 8:47–63, 1988; Publ. Math. (Debr.) 76:77–88, 2010) in the framework of the statistical convergence and the strong Cesàro convergence defined by a modulus function f. Namely, for
Fernando León-Saavedra +3 more
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Statistical convergence in vector lattices [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The statistical convergence is defined for sequences with the asymptotic density on the natural numbers, in general. In this paper, we introduce the statistical convergence in vector lattices by using the finite additive measures on directed sets ...
A. Aydın, F. Temizsu
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On Weak Statistical Convergence [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 The main object of this paper is to introduce a new concept of weak statistically Cauchy sequence in a normed space. It is shown that in a reflexive space, weak statistically Cauchy sequences are the same as weakly statistically convergent sequences ...
Vinod K. Bhardwaj, Indu Bala
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Statistical (T) rates of convergence [PDF]
Glasnik Matematicki, 2004 The basis for comparing rates of convergence of two null sequences is that "x = (xn) converges (stat T) faster than z = (zn) provided that (xn/zn) is T-statistically convergent to zero" where T = (tmn) is a mean.
C. Orhan, H. I. Miller
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New Definitions about A I -Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences [PDF]
Axioms, 2018 In this paper, using an infinite matrix of complex numbers, a modulus function and a lacunary sequence, we generalize the concept of I -statistical ...
Ömer Kişi +2 more
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On $A$-statistical convergence and $A$-statistical Cauchy via ideal
Karpatsʹkì Matematičnì Publìkacìï, 2022 In [Analysis 1985, 5 (4), 301-313], J.A. Fridy proved an equivalence relation between statistical convergence and statistical Cauchy sequence. In this paper, we define $A^{I^{\ast }}$-statistical convergence and find under certain conditions, that it is ...
O.H. Edely, M. Mursaleen
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A-Statistical convergence of approximating operators [PDF]
Mathematical Inequalities & Applications, 2003 Let \(A\) be a regular summability matrix all of whose entries \(a_{n_k}\) \((n\in \mathbb N, k\in\mathbb N)\) are non-negative. A sequence \(x=\{x_k\}\) is said to be \(A\)-statistically convergent to \(L\) if and only if for every \(\varepsilon>0\) \[ \lim_{n}\sum_{k:|x_k-L|\geq \varepsilon}a_{n_k}=0. \] This concept was introduced by \textit{A.
Oktay Duman +2 more
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Statistical Order Convergence and Statistically Relatively Uniform Convergence in Riesz Spaces [PDF]
Journal of Function Spaces, 2018 A new concept of statistically e-uniform Cauchy sequences is introduced to study statistical order convergence, statistically relatively uniform convergence, and norm statistical convergence in Riesz spaces.
Xuemei Xue, Jian Tao
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f-Statistical convergence on topological modules
Electronic Research Archive, 2022 The classical notion of statistical convergence has recently been transported to the scope of real normed spaces by means of the $ f $-statistical convergence for $ f $ a modulus function.
Francisco Javier García-Pacheco +1 more
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