Results 11 to 20 of about 67,051 (221)
Alexandria Engineering Journal, 2023 In this work, to show the existence and uniqueness solution of functional integrodifferential equation with nonlocal condition and finite delay function.
Kottakkaran Sooppy Nisar +2 more
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Global Lipschitz extension preserving local constants [PDF]
Rendiconti Lincei, Matematica e Applicazioni, 2021 The intent of this short note is to extend real valued Lipschitz functions on metric spaces, while locally preserving the asymptotic Lipschitz constant. We then apply this results to give a simple and direct proof of the fact that Sobolev spaces on metric measure spaces defined with a relaxation approach à la Cheeger are invariant under isomorphism ...
Di Marino, S, Gigli, N, Pratelli, A
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Journal of Approximation Theory, 1985 Let X be a closed subset of \(I=[-1,1]\). For \(f\in C[X]\), the local Lipschitz constant is defined to be \(\lambda_{n\delta}(f)=\sup \{\| B_ n(f)-B_ n(g)\| /\| f-g ...
Angelos, James R +3 more
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Adversarial Robustness of Sparse Local Lipschitz Predictors
SIAM Journal on Mathematics of Data Science, 2023 Updated ...
Ramchandran Muthukumar, Jeremias Sulam
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Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues [PDF]
, 2006 We consider a semilinear elliptic equation with a nonsmooth, locally \hbox{Lipschitz} potential function (hemivariational inequality). Our hypotheses permit double resonance at infinity and at zero (double-double resonance situation).
Gasi'nski, Leszek +2 more
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Segment Tracing Using Local Lipschitz Bounds [PDF]
Computer Graphics Forum, 2020 AbstractWe introduce Segment Tracing, a new algorithm that accelerates the classical Sphere Tracing method for computing the intersection between a ray and an implicit surface. Our approach consists in computing the Lipschitz bound locally over a segment to improve the marching step computation and accelerate the overall process.
Galin, Eric +3 more
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Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian
The Scientific World Journal, 2013 A class of nonlinear Neumann problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. The approach used in this paper is the variational method for locally Lipschitz functions.
Qing-Mei Zhou
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Monotonicity preserving approximation of multivariate scattered data [PDF]
, 2005 This paper describes a new method of monotone interpolation and smoothing of multivariate scattered data. It is based on the assumption that the function to be approximated is Lipschitz continuous.
Beliakov, Gleb
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Characterization of the Local Lipschitz Constant
Journal of Approximation Theory, 1994 Let \(X\) be a closed subset of \([a,b]\) with at least \(n+1\) points, and let \(C(X)\) denote the space of continuous real valued functions on \(X\) endowed with the uniform norm. Let \(H_ n\) denote a Haar set of dimension \(n\), and let the best approximation of \(f\in C(X)\) in \(H_ n\) be \(B_ n(f)\).
Bartelt, M. W., Swetits, J. J.
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Nonsmooth analysis and optimization on partially ordered vector spaces
International Journal of Mathematics and Mathematical Sciences, 1992 Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector
Thomas W. Reiland
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