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Complexity of pattern classes and Lipschitz property
, 2004 Rademacher and Gaussian complexities are successfully used in learning theory for measuring the capacity of the class of functions to be learned. One of the most important properties for these complexities is their Lipschitz property: a composition of a ...
J. Shawe-Taylor +3 more
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Practical Mittag-Leffler stability of quasi-one-sided Lipschitz fractional order systems [PDF]
Archives of Control Sciences, 2023 This paper focuses on the global practical Mittag-Leffler feedback stabilization problem for a class of uncertain fractional-order systems. This class of systems is a larger class of nonlinearities than the Lipschitz ones.
Imed Basdouri, Souad Kasmi, Jean Lerbet
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APPROXIMATION BY MATRIX TRANSFORMSIN MORREY SPACES
Проблемы анализа, 2021 In this work, approximation properties of matrix transforms constructed via the Fourier and Faber series in the subspaces of Morrey spaces are investigated.
A. Testici, D. M. Israfilov
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Математичні Студії, 2022 In the present work, we study problem related to the approximation of continuous $2\pi$-periodic functions by linear means of their Fourier series. The simplest example of a linear approximation of periodic function is the approximation of this function ...
O. G. Rovenska
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IET Control Theory & Applications, 2023 In this study, the stability of a sampled‐value control system with time‐ and state‐dependent disturbance and aperiodic sampling is investigated. To expand the application class of the sampled‐value controller, the local stability on a compact set is ...
Kazuki Umemoto +2 more
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Laguerre-Bessel Transform and Generalized Lipschitz Classes
Tatra Mountains Mathematical Publications, 2023 Abstract The aim of this paper is to give necessary and sufficient conditions in terms of the Fourier Laguerre-Bessel transform 𝒲 LB f of the function f to ensure that f belongs to the generalized Lipschitz classes H α
Rakhimi, Larbi +2 more
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Mathematics, 2021 In this paper, we consider a class of mathematical programs with switching constraints (MPSCs) where the objective involves a non-Lipschitz term. Due to the non-Lipschitz continuity of the objective function, the existing constraint qualifications for ...
Jinman Lv, Zhenhua Peng, Zhongping Wan
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Large Deviations and Exit-times for reflected McKean-Vlasov equations with self-stabilizing terms and superlinear drifts [PDF]
, 2020 We study a class of reflected McKean-Vlasov diffusions over a convex domain with self-stabilizing coefficients. This includes coefficients that do not satisfy the classical Wasserstein Lipschitz condition.
Adams, Daniel +4 more
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Local properties of J-complex curves in Lipschitz-continuous structures [PDF]
, 2009 We prove the existence of primitive curves and positivity of intersections of $J$-complex curves for Lipschitz-continuous almost complex structures. These results are deduced from the Comparison Theorem for $J$-holomorphic maps in Lipschitz structures ...
Ivashkovich, S., Shevchishin, V.
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Lipschitz classes and quasiconformla mappings
Annales Academiae Scientiarum Fennicae. Series A. I. Mathematica, 1985 A domain \(D\subset R^ n\) is a Lip\({}_{\alpha}\)-extension domain if every \(f: D\to R^ p\) which satisfies \(| f(x)-f(y)| \leq m| x-y|^{\alpha ...
Gehring, F. W., Martio, O.
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