Results 241 to 250 of about 720,458 (269)

Uniform Continuity, Uniform Convergence, and Shields

Set-Valued and Variational Analysis, 2010
The authors study uniform continuity and uniform convergence in metric spaces using the notion of shields. A superset \(A_1\) of a nonempty subset \(A\) in a metric space \((X,d)\) is called a shield for \(A\) if \(C\cap A_1=\emptyset\) and \(C\) is closed in \(X\) imply that \(C\cap A{^\epsilon}=\emptyset\) for some \(\epsilon > 0\), where \(A ...
Beer, G, LEVI, SANDRO
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On Uniform Convergence Structures

Mathematische Nachrichten, 1987
The authors study the problem of uniformization of arbitrary convergences. Their lattice-oriented approach, based on coilomorphisms (developed by \textit{S. Dolecki} and \textit{G. H. Greco}, Math. Nachr. 126, 327-348 (1986; Zbl 0604.54005)], gives a nice unified treatment and solution of this problem.
Lechicki, Alojzy, Ziemińska, Jolanta
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Uniform Convergence and Graph Convergence

The American Mathematical Monthly, 1976
(1976). Uniform Convergence and Graph Convergence. The American Mathematical Monthly: Vol. 83, No. 8, pp. 641-643.
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Uniform convergence

2009
Abstract We now move towards the third of a trio of important concepts: connectedness, compactness and completeness. We shall study completeness in the context of metric spaces. An important ingredient in establishing completeness for several of our metric spaces will be uniform convergence. In this chapter, we begin the study of uniform
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CONVERGENCE AND UNIFORM CONVERGENCE OF FOURIER SERIES

Mathematics of the USSR-Izvestiya, 1971
We prove theorems on the convergence and uniform convergence of the Fourier series of periodic functions at a point under local and global hypotheses on the functions. The results are extended to uniform convergence and convergence almost everywhere.
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Uniform Convergence in Topological Groups

Zeitschrift für Analysis und ihre Anwendungen, 2004
We improve the Basic Matrix Theorem of Antosik-Swartz in the framework of topological groups. We also obtain an equivalent form of this generalization, which improves the Uniform Convergence Principle of Qu Wenbo and Wu Junde in Proc. Amer. Math. Soc. 130 (2002) 3283–3285.
Aizpuru, Antonio, Gutiérrez Dávila, Antonio   +1 more
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Uniform distribution and Voronoĭ convergence

Sbornik: Mathematics, 2005
Udgivelsesdato: SEP ...
Kozlov, V.V., Madsen, Tatiana Kozlova
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Almost uniform convergence

Periodica Mathematica Hungarica, 1993
A net \((f_ n)\) of functions on a topological space \(X\) to a uniform space \((Y,{\mathcal U})\) converges almost uniformly to a function \(f\) at \(x_ 0\in X\) if for each \(U\in{\mathcal U}\) there exists a neighborhood \(W\) of \(x_ 0\) such that eventually \((f_ n(x),f(x))\in U\) for each \(x\in W\).
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Uniform convergence spaces

2002
Uniform continuity, completeness and equicontinuity are the most important features of uniformities and uniform spaces. Uniform convergence spaces, the convergence generalization of uniform spaces, are not as strong as their topological counterparts. In particular uniform continuity is not a very strong property.
R. Beattie, H.-P. Butzmann
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