Results 1 to 10 of about 30,179 (295)
Lacunary I-invariant convergence
Cumhuriyet Science Journal, 2020 In this study, firstly, we introduce the notion of lacunary invariant uniform density of any subset E of the set N (the set of all natural numbers). Then, as associated with this notion, we give the definition of lacunary I_σ-convergence for
Fatih Nuray, Uğur Ulusu
doaj +4 more sources
Lacunary I_2-Invariant Convergence and Some Properties
International Journal of Analysis and Applications, 2018 In this paper, the concept of lacunary invariant uniform density of any subset $A$ of the set $\mathbb{N}\times\mathbb{N}$ is defined. Associate with this, the concept of lacunary $\mathcal{I}_2$-invariant convergence for double sequences is given. Also,
Ugur Ulusu, Erdinc Dundar, Fatih Nuray
doaj +9 more sources
Regularly ideal invariant convergence of double sequences
Journal of Inequalities and Applications, 2021 In this paper, we introduce the notions of regularly invariant convergence, regularly strongly invariant convergence, regularly p-strongly invariant convergence, regularly ( I σ , I 2 σ ) $(\mathcal{I}_{\sigma },\mathcal{I}^{\sigma }_{2})$ -convergence ...
Nimet Pancaroǧlu Akın
doaj +2 more sources
Lacunary ℐ-Invariant Convergence of Sequence of Sets in Intuitionistic Fuzzy Metric Spaces
Journal of Mathematics, 2021 The concepts of invariant convergence, invariant statistical convergence, lacunary invariant convergence, and lacunary invariant statistical convergence for set sequences were introduced by Pancaroğlu and Nuray (2013).
Mualla Birgül Huban
doaj +2 more sources
On the invariant mean and statistical convergence
Applied Mathematics Letters, 2009 The authors introduce two kinds of summability methods, \(\sigma\)-statistical summability and statistical \(\sigma\)-summability, by using the concepts of invariant means, and statistical convergence. A sequence \((x_{k})\) is said to be \(\sigma\)-statistically convergent to \(L\) if for every \( \varepsilon> 0\) \[ \lim_{p\rightarrow\infty}\frac{1 ...
M Mursaleen
exaly +3 more sources
Some New Types of Convergence Definitions for Random Variable Sequences
International Journal of Analysis and Applications, 2022 In this paper, we introduce the concepts of invariant convergence in probability, statistically invariant convergence in probability, invariant convergence almost surely, invariant convergence in distribution and invariant convergence in Lp-norm for ...
Saadettin Aydın
doaj +1 more source
Convergence of Invariant Graph Networks
CoRR, 2022 Although theoretical properties such as expressive power and over-smoothing of graph neural networks (GNN) have been extensively studied recently, its convergence property is a relatively new direction. In this paper, we investigate the convergence of one powerful GNN, Invariant Graph Network (IGN) over graphs sampled from graphons.
Chen Cai, Yusu Wang 0001
openaire +3 more sources
Machines, 2021 For mechanical compound fault, it is of great significance to employ the vibration signal of a single-channel compound fault to analyze and realize the separation of multiple fault sources, which is essentially the problem of single-channel blind source ...
Haodong Yuan, Nailong Wu, Xinyuan Chen
doaj +1 more source
Convergence Groups are not Invariably Generated [PDF]
International Mathematics Research Notices, 2014 It was conjectured in [KLS14] that non-elementary word hyperbolic groups are never invariably generated. We show that this is indeed the case even for the much larger class of convergence groups.
openaire +2 more sources
A New Newton Method with Memory for Solving Nonlinear Equations
Mathematics, 2020 A new Newton method with memory is proposed by using a variable self-accelerating parameter. Firstly, a modified Newton method without memory with invariant parameter is constructed for solving nonlinear equations. Substituting the invariant parameter of
Xiaofeng Wang, Yuxi Tao
doaj +1 more source