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Lipschitz Image of Lipschitz Functions
Real Analysis Exchange, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lipschitz and bi-Lipschitz Functions
Revista Matemática Iberoamericana, 1988 Let \(f\) be a Lipschitz mapping of a unit cube \(Q_ 0\subset\mathbb{R}^ n\) into \(\mathbb{R}^ m\). The author proves that for each \(\delta>0\) there exist \(M\in\mathbb{R}\) and sets \(K_ 1,\dots,K_ M\subset Q_ 0\) such that the Hausdorff content of \(f\Bigl(Q_ 0\backslash \bigcup^ M_{j=1} K_ j\Bigr)\) is less than \(\delta\) and \(| f(x)- f(y)|
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Banach spaces of Lipschitz functions and vector-valued Lipschitz functions [PDF]
Bulletin of the American Mathematical Society, 1969 liflid = Sup{ lf(s)-f(t)1 d-1(s, t) I s, t E S, s =# t} is finite. Forfe LipE (S, d), let Ilf I .=sup { lf(s) 1 I s E S} and IlfII = max (IlfK a), IlfIId) It is routine to show that 11 is a norm for which LipE (S, d) is a Banach space. When E is the set of real or complex numbers, we drop the subscript and write Lip (S, d).
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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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Bessel Transform of -Bessel Lipschitz Functions
Journal of Mathematics, 2013 Using a generalized translation operator, we obtain an analog of Theorem 5.2 in Younis (1986) for the Bessel transform for functions satisfying the -Bessel Lipschitz condition in .
Radouan Daher, Mohamed El Hamma
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Norm-attaining Lipschitz functionals [PDF]
Banach Journal of Mathematical Analysis, 2016 To appear in Banach Journal of Mathematical ...
Kadets, Vladimir +2 more
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Lipschitz Continuity of Convex Functions [PDF]
Applied Mathematics & Optimization, 2020 17 ...
Bao Tran Nguyen, Pham Duy Khanh
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Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
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Causal‐Guided Ultra‐Long‐Term Time Series Forecasting Via Anticipated Covariates
Advanced Science, EarlyView.Often treated as unknown, information from the future remains underutilized.We demonstrate that in a coupled dynamical system, providing the future state of the effect enables accurate forecasting of the cause for a long timesteps. A time series forecasting paradigm that introduces anticipated covariates to represent such known future states is ...
Jintong Zhao +4 more
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Extensions of semi-Lipschitz functions on quasi-metric spaces
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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