Results 51 to 60 of about 9,704 (289)
Best uniform approximation of semi-Lipschitz functions by extensions
Journal of Numerical Analysis and Approximation Theory, 2007 In this paper we consider the problem of best uniform approximation of a real valued semi-Lipschitz function \(F\) defined on an asymmetric metric space \((X,d),\) by the elements of the set \(\mathcal{E}_{d}(\left. F\right\vert _{Y})\) of all extensions
Costică Mustăţa
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Generalized Local Operators Between Function Modules
پژوهشهای ریاضی, 2021 Let X be a compact Hausdorff space, E be a normed space, A(X,E) be a regular Banach function algebra on X , and A(X,E) be a subspace of C(X,E) . In this paper, first we introduce the notion of localness of an additive map S:A(X,E) → C(X,E) with respect ...
Fereshteh Sady, Masoumeh Najafi Tavani
doaj
A Note on Sobolev‐Lorentz Capacity and Hausdorff Measure
Mathematische Nachrichten, EarlyView.ABSTRACT In this paper, we give an elementary proof that sets of zero p,1$p,1$‐Sobolev‐Lorentz capacity are Hn−p$\mathcal {H}^{n-p}$‐null sets, independently of nonlinear potential theory. We further show that there exists a set of Sobolev‐Lorentz‐(p,1)$(p,1)$ capacity equal to zero with Hausdorff dimension equal n−p$n-p$.
Daniel Campbell
wiley +1 more source
Uniqueness for Neumann Problems for Nonlinear Elliptic Equations With Lower Order Terms
Mathematische Nachrichten, EarlyView.ABSTRACT In this paper, we prove uniqueness results for weak solutions to a class of Neumann problems, whose prototype is λ(1+u2)(p−2)/2u−div((1+|∇u|2)(p−2)/2∇u)−div(c(x)(1+|u|2)(τ+1)/2)+b(x)(1+|∇u|2)(σ+1)/2=finΩ(1+|∇u|2)(p−2)/2∇u+c(x)(1+|u|2)(τ+1)/2)·n̲=0on∂Ω,$$\begin{equation*} {\begin{cases} {}\lambda {(1+ u^2)}^{(p-2)/2}u-{\operatorname{div}}({(1+|\
Maria Francesca Betta +3 more
wiley +1 more source
Linearization of Lipschitz-polynomial and Lipschitz-analytic mappings
Karpatsʹkì Matematičnì Publìkacìï, 2011 We introduce and study Lipschitz-analytic and Lipcshitz-polynomial functions, analogues of tensor and symmetric tensor products of metric spaces.
M. V. Dubei, A. V. Zagorodnyuk
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On fully operator Lipschitz functions
, 2007 Let A(D) be the disc algebra of all continuous complex-valued functions on the unit disc D holomorphic in its interior. Functions from A(D) act on the set of all contraction operators (‖A‖⩽1) on Hilbert spaces.
Kissin, E., Shulman, V.S.
core +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang +5 more
wiley +1 more source
Fourier transforms of Dini-Lipschitz functions
International Journal of Mathematics and Mathematical Sciences, 1986 It is well known that if Lipschitz conditions of a certain order are imposed on a function f(x), then these conditions affect considerably the absolute convergence of the Fourier series and Fourier transforms of f.
M. S. Younis
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On semi-Lipschitz functions with values in a quasi-normed linear space
Applied General Topology, 2005 In a recent paper, S. Romaguera and M. Sanchis discussed several properties of semi-Lipschitz real valued functions. In this paper we analyze the structure of the space of semi-Lipschitz functions that are valued in a quasi-normed linear space.
José Manuel Sánchez-Álvarez
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On Natural Functions and Lipschitz Functions
Real Analysis Exchange, 2003 Let \(E\subset \mathbb R\) be a nonempty bounded set, let \(X\) be a metric space with metric \(d\). The total variation \(V(f,E)\) of a map \(f\colon~E\rightarrow X\) on \(E\) is defined as \[ V(f,E)=\sup~\left\{\sum_{i=1}^{m}d(f(t_i),f(t_{i-1 ...
openaire +3 more sources