Results 1 to 10 of about 991,375 (281)
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
doaj +2 more sources
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
doaj +4 more sources
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
doaj +3 more sources
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
doaj +2 more sources
SOME REMARKS ON ROUGH STATISTICAL \(\Lambda\)-CONVERGENCE OF ORDER \(\alpha\)
Ural Mathematical Journal, 2021 The main purpose of this work is to define Rough Statistical \(\Lambda\)-Convergence of order \(\alpha ...
Reena Antal +2 more
doaj +1 more source
Lacunary Arithmetic Statistical Convergence [PDF]
National Academy Science Letters, 2020 A lacunary sequence is an increasing integer sequence $ =(k_r)$ such that $k_r-k_{r-1}\rightarrow \infty$ as $r\rightarrow \infty.$ In this article we introduce arithmetic statistically convergent sequence space $ASC$ and lacunary arithmetic statistically convergent sequence space $ASC_ $ and study some inclusion properties between the two spaces ...
Taja Yaying, Bipan Hazarika
openaire +2 more sources
Statistical Riesz and Nörlund convergence for sequences of fuzzy numbers
Journal of Amasya University the Institute of Sciences and Technology, 2023 Nuray and Savaş proposed statistical convergence of fuzzy number sequences. Afterward, Tripathy and Baruah presented Riesz and Nörlund convergence for sequences of fuzzy numbers.
Samira Jalali +2 more
doaj +1 more source
Rough statistical convergence of double sequences in intuitionistic fuzzy normed spaces
Journal of New Results in Science, 2022 This paper proposes rough convergence and rough statistical convergence of a double sequence in intuitionistic fuzzy normed spaces. It then defines the rough statistical limit points and rough statistical cluster points of a double sequence in these ...
Aykut Or, Ahmet Özcan
doaj +1 more source
Predicting Future Promising Technologies Using LSTM
Informatics, 2022 With advances in science and technology and changes in industry, research on promising future technologies has emerged as important. Furthermore, with the advent of a ubiquitous and smart environment, governments and enterprises are required to predict ...
Seol-Hyun Noh
doaj +1 more source
Lacunary statistical convergence [PDF]
Pacific 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