Results 11 to 20 of about 72,220 (275)
Journal of Inequalities and Applications, 2022 In this article, we consider a bivariate Chlodowsky type Szász–Durrmeyer operators on weighted spaces. We obtain the rate of approximation in connection with the partial and complete modulus of continuity and also for the elements of the Lipschitz type ...
Reşat Aslan, M. Mursaleen
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On the Solution of Equations by Extended Discretization
Computation, 2020 The method of discretization is used to solve nonlinear equations involving Banach space valued operators using Lipschitz or Hölder constants. But these constants cannot always be found.
Gus I. Argyros +4 more
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McShane-Whitney extensions in constructive analysis [PDF]
Logical Methods in Computer Science, 2020 Within Bishop-style constructive mathematics we study the classical McShane-Whitney theorem on the extendability of real-valued Lipschitz functions defined on a subset of a metric space.
Iosif Petrakis
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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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On the role of Riesz potentials in Poisson's equation and Sobolev embeddings [PDF]
, 2014 In this paper, we study the mapping properties of the classical Riesz potentials acting on $L^p$-spaces. In the supercritical exponent, we obtain new "almost" Lipschitz continuity estimates for these and related potentials (including, for instance, the ...
Garg, Rahul, Spector, Daniel
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On Lipschitz Continuous Optimal Stopping Boundaries [PDF]
SIAM Journal on Control and Optimization, 2019 We obtain a probabilistic proof of the local Lipschitz continuity for the optimal stopping boundary of a class of problems with state space $[0,T]\times\mathbb{R}^d$, $d\ge 1$. To the best of our knowledge this is the only existing proof that relies exclusively upon stochastic calculus, all the other proofs making use of PDE techniques and integral ...
Tiziano De Angelis, Gabriele Stabile
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Optimal Lipschitz criteria and local estimates for non-uniformly elliptic problems [PDF]
, 2018 We report on new techniques and results in the regularity theory of general non-uniformly elliptic variational integrals. By means of a new potential theoretic approach we reproduce, in the non-uniformly elliptic setting, the optimal criteria for ...
Beck, Lisa, Mingione, Giuseppe
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Weak observability estimates for 1-D wave equations with rough coefficients [PDF]
, 2013 In this paper we prove observability estimates for 1-dimensional wave equations with non-Lipschitz coefficients. For coefficients in the Zygmund class we prove a "classical" observability estimate, which extends the well-known observability results in ...
Fanelli, Francesco, Zuazua, Enrique
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Lipschitz Continuity of the Solution Mapping of Symmetric Cone Complementarity Problems
Abstract and Applied Analysis, 2012 This paper investigates the Lipschitz continuity of the solution mapping of symmetric cone (linear or nonlinear) complementarity problems (SCLCP or SCCP, resp.) over Euclidean Jordan algebras. We show that if the transformation has uniform Cartesian P-
Xin-He Miao, Jein-Shan Chen
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Smoothness parameter of power of Euclidean norm
, 2020 In this paper, we study derivatives of powers of Euclidean norm. We prove their H\"older continuity and establish explicit expressions for the corresponding constants.
Nesterov, Yurii, Rodomanov, Anton
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