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Local and global Lipschitz classes
1987Let h be a modulus of continuity, i.e. u is a concave positive and increasing function. If D is a domain in \({\mathbb{R}}^ n\), then a function \(u: D\to {\mathbb{R}}\) is said to belong to the local Lipschitz class loc Lip\({}_ h(D)\) if there is \(b\in (0,1)\) and M such that \(| u(x)- u(y)| \leq M h(| x-y|)\) for all \(x\in D\) and \(y\in D\) with \
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On the trigonometric approximation of functions in a weighted Lipschitz class
, 2020Uaday Singh
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Approximation of a Function f Belonging to Lipschitz Class by Legendre Wavelet Method
International Journal of Applied and Computational Mathematics, 2019S. Lal, V. Sharma
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Strong Approximation and Generalized Lipschitz Classes
1981Recently several papers (see e.g. [2], [3, [5], [7, [10]) deal with problems of imbedding of classes of functions connected with strong approximation of Fourier series. At such problems the main question is to find conditions implying that a certain class of functions should be imbedded into another one, and one of the classes in question is determined
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Robust H∞ filtering for a class of discrete-time Lipschitz nonlinear systems
at - Automatisierungstechnik, 2019C. E. Souza
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Lipschitz Bounds and Nonautonomous Integrals
Archive for Rational Mechanics and Analysis, 2021Cristiana De Filippis, Giuseppe Mingione
exaly