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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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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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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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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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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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Uniform convergence rates and uniform adaptive estimation in mixtures of regressions [PDF]
, 2018 In this thesis, we develop theoretical tools to examine estimators in non-parametric regression models in regard of uniform convergence rates and uniform adaptivity with respect to the smoothness of the parameter functions.
Werner, Heiko
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Uniform Statistical Convergence on Time Scales
Journal of Applied Mathematics, 2014 We will introduce the concept of m- and (λ,m)-uniform density of a set and m- and (λ,m)-uniform statistical convergence on an arbitrary time scale. However, we will define m-uniform Cauchy function on a time scale. Furthermore, some relations about these
Yavuz Altin +2 more
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