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Uniform Convergence and Transitive Subsets [PDF]
Discrete Dynamics in Nature and Society, 2012 Let (X,d) be a metric space and a sequence of continuous maps fn:X→X that converges uniformly to a map f. We investigate the transitive subsets of fn whether they can be inherited by f or not. We give sufficient conditions such that the limit map f has a
Lei Liu, Shuli Zhao, Hongliang Liang
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Mathematische Annalen, 1964 Ist \( E \) ein halbgeordneter Vektorraum, so heißt eine Folge \( \left\{f_{n}\right\} \) in \( E \) relativ gleichmäßig (r.g.) konvergent gegen \( f \in E \), falls es ein Element \( u \geqq 0 \) in \( E \) und eine Nullfolge positiver Zahlen \( \varepsilon_{n} \) gibt, so daß \( -\varepsilon_{n} u \leqq f_{n}-f \leqq \varepsilon_{n} u \) gilt für ...
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On Another Type of Convergence for Intuitionistic Fuzzy Observables
Mathematics, 2023 The convergence theorems play an important role in the theory of probability and statistics and in its application. In recent times, we studied three types of convergence of intuitionistic fuzzy observables, i.e., convergence in distribution, convergence
Katarína Čunderlíková
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Analysis of Existing Tunnels Deformation Induced by New Othogonal Tunneling Using Park Convergence Model [PDF]
Zhengzhou Daxue xuebao. Gongxue ban, 2022 Due to the complexity of the traditional force controlled method in analyzing the deformation process of the ground and the existing tunnels caused by the orthogonal under-crossing of the tunnel, the displacement controlled method was adopted in this ...
JIN Junwei +4 more
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Cumhuriyet Science Journal, 2021 In the present paper, we introduce a new kind of convergence, called the statistical relative uniform convergence, for a double sequence of functions at a point, where the relative uniform convergence of the set of the neighborhoods of the given point is
Sevda Yıldız
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Schur Lemma and Uniform Convergence of Series through Convergence Methods
Mathematics, 2020 In this note, we prove a Schur-type lemma for bounded multiplier series. This result allows us to obtain a unified vision of several previous results, focusing on the underlying structure and the properties that a summability method must satisfy in order
Fernando León-Saavedra +2 more
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$\mathcal{I}_2$-Uniform Convergence of Double Sequences of Functions In $2$-Normed Spaces
Communications in Advanced Mathematical Sciences, 2022 In this work, we discuss various types of $\mathcal{I}_2$-uniform convergence and equi-continuous for double sequences of functions. Also, we introduce the concepts of $\mathcal{I}_2$-uniform convergence, $\mathcal{I}_2^*$-uniform convergence, $\mathcal ...
Mukaddes Arslan +2 more
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On the double Lusin condition and convergence theorem for Kurzweil-Henstock type integrals [PDF]
Mathematica Bohemica, 2016 Equiintegrability in a compact interval $E$ may be defined as a uniform integrability property that involves both the integrand $f_n$ and the corresponding primitive $F_n$.
Abraham Racca, Emmanuel Cabral
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Second Moment Convergence Rates for Uniform Empirical Processes
Journal of Inequalities and Applications, 2010 Let be a sequence of independent and identically distributed -distributed random variables. Define the uniform empirical process as , . In this paper, we get the exact convergence rates of weighted infinite series of .
Chen You-You, Zhang Li-Xin
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The local uniform convergence of positive harmonic function sequence
Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên, 2023 The Harnack distance on space and its conformal invariance were constructed and studied by Herron. In this paper, we obtain the Harnack distance on domains in . Then, we use this concept to investigate some properties of the positive harmonic function
Dang Thinh Do +2 more
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