Results 11 to 20 of about 1,127,269 (277)
Bolzano and uniform continuity [PDF]
Historia Mathematica, 2005 The authors argue that in his work on real functions Bolzano not only grasped the notion of uniform continuity but was also aware of what we knowns as Heine's theorem (a function continuous on a closed interval is also uniformly continuous here). They also show that Bolzano also knew that a function can be continuous on an open interval without being ...
Rusnock, Paul, Kerr-Lawson, Angus
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The Alexandroff property and the preservation of strong uniform continuity [PDF]
Applied General Topology, 2010 In this paper we extend the theory of strong uniform continuity and strong uniform convergence, developed in the setting of metric spaces in, to the uniform space setting, where again the notion of shields plays a key role.
Gerald Beer
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, 2011 This paper collects results and open problems concerning several classes of functions that generalize uniform continuity in various ways, including those metric spaces (generalizing Atsuji spaces) where all continuous functions have the property of being close to uniformly continuous.
DIKRANJAN, Dikran, Repovs D.
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Dual uniformities in function spaces over uniform continuity
Open Mathematics, 2022 The notion of dual uniformity is introduced on UC(Y,Z)UC(Y,Z), the uniform space of uniformly continuous mappings between YY and ZZ, where (Y,V)(Y,{\mathcal{V}}) and (Z,U)(Z,{\mathcal{U}}) are two uniform spaces.
Gupta Ankit +3 more
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Convolution algebras for topological groupoids with locally compact fibres [PDF]
Opuscula Mathematica, 2011 The aim of this paper is to introduce various convolution algebras associated with a topological groupoid with locally compact fibres. Instead of working with continuous functions on \(G\), we consider functions having a uniformly continuity property on ...
Mădălina Roxana Buneci
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Uniform subdivision algorithms for curves and surfaces [PDF]
, 1988 A convergence analysis for studying the continuity and differentiability of limit curves generated by uniform subdivision algorithms is presented. The analysis is based on the study of corresponding difference and divided difference algorithms.
Gregory, JA, Dyn, N, Levin, D
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Karpatsʹkì Matematičnì Publìkacìï, 2023 The paper deals with the problem of approximation in the uniform metric of $W^{1}H_{\omega}$ classes using one of the classical linear summation methods for Fourier series given by a set of functions of a natural argument, namely, using the Abel-Poisson ...
Yu.I. Kharkevych, T.A. Stepaniuk
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Fuzzy Continuous Mappings on Fuzzy F-Spaces
Mathematics, 2022 In the present paper, we first introduce different types of fuzzy continuity for mappings between fuzzy F-normed linear spaces and the relations between them are investigated.
Sorin Nădăban
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Multivalued function spaces and Atsuji spaces
Applied General Topology, 2003 In this paper we present two themes. The first one describes a transparent treatment of some of the recent results in graph topologies on multi-valued functions.
Som Naimpally
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