Results 61 to 70 of about 5,160 (166)

Simulation-based verification of bounded-horizon safety for hybrid systems using dynamic number of simulations

IET Cyber-Physical Systems, 2019
The authors present a simulation-based bounded-horizon verification framework for hybrid systems with Lipschitz continuity on the continuous dynamics. In this framework, the bounded initial set is covered by a finite set of representative states, whose ...
Hao Ren, Ratnesh Kumar, Ratnesh Kumar
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Bi-Lipschitz decomposition of Lipschitz functions into a metric space

Revista Matemática Iberoamericana, 2009
We prove a quantitative version of the following statement. Given a Lipschitz function f from the k-dimensional unit cube into a general metric space, one can be decomposed f
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A Stancu type extension of Cheney and Sharma operators

Journal of Numerical Analysis and Approximation Theory, 2018
In this paper we deal with a Stancu type extension of the Cheney and Sharma operators. We consider a recurrence relation to get moments of the operators and give a local approximation result via suitable K-functional.
Tuğba Bostancı, Gülen Başcanbaz-Tunca   +1 more
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Boundedness of Commutators of High-Dimensional Hausdorff Operators

Journal of Function Spaces and Applications, 2012
We prove the boundedness of commutators of high-dimensional Hausdorff operators 𝐻Φ,𝑏 on Lebesgue space with central BMO function or Lipschitz function. Furthermore, the boundedness on Herz spaces and Morrey-Herz spaces is also obtained.
Guilian Gao, Houyu Jia
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Global optimization of Lipschitz functions

, 2017
The goal of the paper is to design sequential strategies which lead to efficient optimization of an unknown function under the only assumption that it has a finite Lipschitz constant. We first identify sufficient conditions for the consistency of generic sequential algorithms and formulate the expected minimax rate for their performance.
Cédric Malherbe, Nicolas Vayatis
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The oscillation of separately locally Lipschitz functions

Karpatsʹkì Matematičnì Publìkacìï, 2013
We prove that a function which dened on the product of two metric Baire spaces is the oscillation of some separately locally Lipschitz function if and only if it is an upper semicontinuous non-negative function which has a crosswise nowhere dense closure
V. H. Herasymchuk, O. V. Maslyuchenko
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Hyers–Ulam–Rassias Stability of Nonlinear Implicit Higher-Order Volterra Integrodifferential Equations from above on Unbounded Time Scales

Mathematics
In this paper, we present sufficient conditions for Hyers-Ulam-Rassias stability of nonlinear implicit higher-order Volterra-type integrodifferential equations from above on unbounded time scales.
Andrejs Reinfelds, Shraddha Christian
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Lipschitz functions of continuous functions [PDF]

Pacific Journal of Mathematics, 1953
Marx, Imanuel, Piranian, George
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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 ...
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On the domain of the implicit function and applications

Journal of Inequalities and Applications, 2005
The implicit function theorem asserts that there exists a ball of nonzero radius within which one can express a certain subset of variables, in a system of equations, as functions of the remaining variables.
Papi Marco
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