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Age-structured mechanical models for tumor growth. [PDF]
Levy D, Lim H, Mellet A, Wildes M.
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Uniform Continuity, Uniform Convergence, and Shields
Set-Valued and Variational Analysis, 2010The 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 ...
Gerald Beer, Beer Gerald
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On Uniform Convergence Structures
Mathematische Nachrichten, 1987The 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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A Theorem in Uniform Convergence
The Mathematical Gazette, 1946One of the most striking results in the theory of uniform convergence asserts that for a monotonic sequence of continuous functions, continuity of the limit function is a necessary and sufficient condition for uniform convergence.
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CONVERGENCE AND UNIFORM CONVERGENCE OF FOURIER SERIES
Mathematics of the USSR-Izvestiya, 1971We 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 distribution and Voronoĭ convergence
Sbornik: Mathematics, 2005Udgivelsesdato: SEP ...
Kozlov, V.V., Madsen, Tatiana Kozlova
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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 in Topological Groups
Zeitschrift für Analysis und ihre Anwendungen, 2004We 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 +1 more
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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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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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