Results 21 to 30 of about 3,633,928 (292)

Statistical Order Convergence and Statistically Relatively Uniform Convergence in Riesz Spaces [PDF]

open access: yesJournal 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
doaj   +3 more sources

Statistical convergence of order α in probability

open access: yesArab Journal of Mathematical Sciences, 2015
In this paper the ideas of different types of convergence of a sequence of random variables in probability, namely, statistical convergence of order α in probability, strong p-Cesàro summability of order α in probability, lacunary statistical ...
Pratulananda Das   +2 more
doaj   +2 more sources

Statistical Convergence in $L$-Fuzzy Metric Spaces [PDF]

open access: yesJournal of New Theory
Statistical convergence, defined in terms of the natural density of positive integers, has been studied in many different spaces, such as intuitionistic fuzzy metric spaces, partial metric spaces, and $L$-fuzzy normed spaces.
Ahmet Çakı, Aykut Or
doaj   +2 more sources

Density by Moduli and Lacunary Statistical Convergence [PDF]

open access: yesAbstract and Applied Analysis, 2016
We have introduced and studied a new concept of f-lacunary statistical convergence, where f is an unbounded modulus. It is shown that, under certain conditions on a modulus f, the concepts of lacunary strong convergence with respect to a modulus f and f ...
Vinod K. Bhardwaj, Shweta Dhawan
doaj   +2 more sources

ROUGH ΔI-STATISTICAL CONVERGENCE [PDF]

open access: yes, 2022
In this study, we examine rough.I-statistical convergence for difference sequences as an extension of rough convergence. We investigate the set of rough Delta I-statistical limit points of a difference sequence and analyze the results with ...
Dundar, Erdinc, Kişi, Ömer
core   +1 more source

Lacunary statistical convergence [PDF]

open access: yesPacific Journal of Mathematics, 1993
The sequence \(x\) is statistically convergent to \(L\) provided that for each \(\varepsilon>0\), \[ \lim_ n {1 \over n} \{\text{the number of } k \leq n:| x_ k-L | \geq \varepsilon\}=0. \] A related concept is introduced by replacing the set \(\{k:k \leq n\}\) with \(\{ k:k_{r-1}
Fridy, J. A., Orhan, C.
openaire   +2 more sources

ON DISCRETE WEIGHTED STATISTICAL CONVERGENCE [PDF]

open access: yesFacta Universitatis, Series: Mathematics and Informatics, 2021
In the present paper, the notion of discrete weighted mean method of summability isextended the concept of statistical convergence. We also give the notion of statistical (M,P_{λ})-summability and [M,P_{λ}]_{q}-summability.
Ercan, Sinan   +2 more
openaire   +1 more source

Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence

open access: yesJournal of Mathematical Sciences and Modelling, 2019
In this paper, we introduce the concepts of αβ−statistical convergence and strong αβ− summability of double sequences and investigate the relation between these two new concepts. Moreover, statistical convergence and αβ− statistical convergence of double
Selma Altundağ, Bayram Sözbir
doaj   +1 more source

STATISTICAL CONVERGENCE OF INFINITE SERIES [PDF]

open access: yes, 2001
summary:In this paper we use the notion of statistical convergence of infinite series naturally introduced as the statistical convergence of the sequence of the partial sums of the series.
Tibor Šalát   +6 more
core   +1 more source

ON THE STATISTICAL CONVERGENCE OF NESTED SEQUENCES OF SETS

open access: yesПроблемы анализа, 2022
In this paper, we show that Wijsman convergence and statistical Wijsman convergence are equivalent to each other if we choose the sequences of sets as monotone.
H. Albayrak   +3 more
doaj   +1 more source

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