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Lipschitz functions on topometric spaces
Journal of Logic and Analysis, 2013 Nous étudions des fonctions sur des espaces topométriques qui sont à la fois (métriquement) Lipschitz et (topologiquement) continus, en les utilisant dans des contextes où, en topologie classique, des fonctions continues ordinaires sont utilisées. Nous étudions les relations de telles fonctions avec des versions topométriques d'axiomes de séparation ...
Ben Yaacov, Itaï
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Extensions of semi-Lipschitz functions on quasi-metric spaces [PDF]
Journal of Numerical Analysis and Approximation Theory, 2001 The aim of this note is to prove an extension theorem for semi-Lipschitz real functions dened on quasi-metric spaces, similar to McShane extension theorem for real-valued Lipschitz functions dened on a metric space ([2], [4]).
Costică Mustăţa
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NEW INEQUALITIES ON LIPSCHITZ FUNCTIONS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2020 In this study, some inequalities of Hermite Hadamard type obtained for p-convex functions are given for Lipschitz mappings. Also, some applications for special means have been given.
İşcan, İmdat +2 more
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Smooth Approximation of Lipschitz Functions on Finsler Manifolds [PDF]
Journal of Function Spaces and Applications, 2013 We study the smooth approximation of Lipschitz functions on Finsler manifolds, keeping control on the corresponding Lipschitz constants. We prove that, given a Lipschitz function f:M→ℝ defined on a connected, second countable Finsler manifold M, for each
M. I. Garrido +2 more
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Peak Sets for Lipschitz Functions [PDF]
Proceedings of the American Mathematical Society, 1978 We study the peak sets for the algebras of functions analytic in the unit disc D and satisfying a Lipschitz condition on ∂
Novinger, W. P., Oberlin, D. M.
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CONTROLLING LIPSCHITZ FUNCTIONS [PDF]
Mathematika, 2018 Given any positive integers $m$ and $d$, we say the a sequence of points $(x_i)_{i\in I}$ in $\mathbb R^m$ is {\em Lipschitz-$d$-controlling} if one can select suitable values $y_i\; (i\in I)$ such that for every Lipschitz function $f:\mathbb R^m\rightarrow \mathbb R^d$ there exists $i$ with $|f(x_i)-y_i|<1$. We conjecture that for every $m\le d$, a
Kupavskii, Andrey +2 more
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Lipschitz differences and Lipschitz functions [PDF]
Colloquium Mathematicum, 1997 Let \(G\) be any of the groups \(R\) or \(T= R/Z\) (the circle group) and, for every \(L >0\), set \( \text{ Lip}_L(G) = \{g:G \to R\;\text{ such \;that \;} |g(x)-g(y)|\leq L |x-y|\;\forall x,y \in G\}, \;\text{ Lip}(G) = \bigcup_{L>0} \text{ Lip}_L(G)\).
Balcerzak, Marek +2 more
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Operator Lipschitz functions [PDF]
Russian Mathematical Surveys, 2016 109 pages, in ...
Aleksandrov, Aleksei, Peller, Vladimir
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Lipschitz Bernoulli Utility Functions
Mathematics of Operations Research, 2023 We obtain several variants of the classic von Neumann–Morgenstern expected utility theorem with and without the completeness axiom in which the derived Bernoulli utility functions are Lipschitz. The prize space in these results is an arbitrary separable metric space, and the utility functions are allowed to be unbounded.
Efe A. Ok, Nik Weaver
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Lipschitz continuity for isotropic matrix functions
, 2021 We prove a sharp Lipschitz bound for isotropic matrix functions in terms of the Lipschitz constant for the underlying vector ...
Carlsson, Marcus,, Lund University.
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