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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
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Regularly ideal invariant convergence of double sequences [PDF]
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
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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
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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
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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
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Wijsman quasi-invariant convergence [PDF]
Creative Mathematics and Informatics, 2019 In this study, we defined concepts of Wijsman quasi-invariant convergence, Wijsman quasi-strongly invariant convergence and Wijsman quasi-strongly q-invariant convergence. Also, we give the concept of Wijsman quasi-invariant statistically convergence. Then, we study relationships among these concepts.
Gülle, Esra, Ulusu, Uğur
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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
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Exponential Mixing for a Stochastic PDE Driven by Degenerate Noise [PDF]
, 1997 We study stochastic partial differential equations of the reaction-diffusion type. We show that, even if the forcing is very degenerate (i.e. has not full rank), one has exponential convergence towards the invariant measure.
Cole, M +4 more
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Convergence properties of end invariants [PDF]
Geometry & Topology, 2013 We prove a continuity property for ending invariants of convergent sequences of Kleinian surface groups. We also analyze the bounded curve sets of such groups and show that their projections to non-annular subsurfaces lie a bounded Hausdorff distance from geodesics joining the projections of the ending invariants.
Brock, Jeffrey F +3 more
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Quasi-invariant convergence for double sequence [PDF]
Journal of Classical Analysis, 2020 Summary: In this paper we introduce the concept of quasi-invariant convergence and quasiinvariant statistical convergence of double sequence in a normed space and we shall present a characterization of a bounded sequence to be quasi-invariant convergent.
Dafadar, Alauddin, Ganguly, D. K.
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