Results 241 to 250 of about 72,220 (275)

Operators with Lipschitz Continuous First Derivative

2020
Examining the algorithm of Newton’s method, $$\displaystyle x_{n+1}=x_n-[F'(x_n)]^{-1}F(x_n),\quad n\geq 0, \quad \mbox{with } x_0\mbox{ given}, $$ we see that it involves only the operator F and its first Frechet derivative F′, suggests that trying to impose conditions only on the operators F and F′ to guarantee the convergence of Newton’s ...
José Antonio Ezquerro Fernández, Miguel Ángel Hernández Verón   +1 more
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Random reals and Lipschitz continuity

Mathematical Structures in Computer Science, 2006
Lipschitz continuity is used as a tool for analysing the relationship between incomputability and randomness. We present a simpler proof of one of the major results in this area – the theorem of Yu and Ding, which states that there exists no cl-complete c.e. real – and go on to consider the global theory.
ANDREW E. M. LEWIS, GEORGE BARMPALIAS
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Extensions of Continuous and Lipschitz Functions

Canadian Mathematical Bulletin, 2000
AbstractWe show a result slightly more general than the following. Let K be a compact Hausdorff space, F a closed subset of K, and d a lower semi-continuous metric on K. Then each continuous function ƒ on F which is Lipschitz in d admits a continuous extension on K which is Lipschitz in d. The extension has the same supremum norm and the same Lipschitz
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Lipschitz continuations of linearly bounded functions

Sbornik: Mathematics, 1998
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Commutator Lipschitz Functions and Analytic Continuation

Journal of Mathematical Sciences, 2016
Let \({\mathfrak F}_0\) and \({\mathfrak F}\) be perfect subsets of the complex plane such that \({\mathfrak F}_0\subset{\mathfrak F}\) and the set \(\Omega={\mathfrak F}_0\setminus{\mathfrak F}\) is open. A continuous function \(f\) on \({\mathfrak F}\) is said to be an analytic continuation of a function \(f_0\) on \({\mathfrak F}_0\) if \(f\) is ...
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Team optimization problems with Lipschitz continuous strategies

Optimization Letters, 2010
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GNECCO, GIORGIO STEFANO, SANGUINETI, MARCELLO   +1 more
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Lipschitz continuity of Lipschitz-Killing curvature densities at infinity

Selecta Mathematica
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Dinh, Si Tiep, Nguyen, Nhan
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Cutting corners preserves Lipschitz continuity

Applied Mathematics, 1994
In this note the author proves that the corner cutting procedure preserves continuity properties, i.e., a sequence of polygons obtained in this way belongs to the Lipschitz class of the same constant and exponent. As a consequence this also holds for all functions or curves obtained as the limit of this procedure, such as the Bernstein polynomials ...
Feng, Yuyu, Kozak, Jernej
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Lipschitz Continuity of Spherical Means

1978
The purpose of this paper is to give a new proof of a theorem of J. Peyriere concerning the regularity of spherical means of functions in \(L_{loc}^p({R^n})\).
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Mitigating acute chemotherapy-associated adverse events in patients with cancer

Nature Reviews Clinical Oncology, 2022
Nicole M Kuderer, Gary H Lyman
exaly