Results 11 to 20 of about 62 (36)
Traces and Extensions of Bounded Divergence-Measure Fields on Rough Open Sets
, 2020 We prove that an open set $\Omega \subset \mathbb{R}^n$ can be approximated by smooth sets of uniformly bounded perimeter from the interior if and only if the open set $\Omega$ satisfies \begin{align*} &\qquad \qquad\qquad\qquad\qquad\qquad\qquad ...
Chen, Gui-Qiang G. +2 more
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ITERATED -FRACTIONAL VECTOR REPRESENTATION FORMULAE AND INEQUALITIES FOR BANACH SPACE VALUED FUNCTIONS [PDF]
, 2020 Here we present very general iterated fractional Bochner integral representation formulae for Banach space valued functions. Based on these we derive generalized and iterated left and right: fractional Poincar´e type inequalities, fractional Opial type ...
George A. Anastassiou
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Comparison meaningful operators and ordinal invariant preferences [PDF]
, 2015 The existence of a continuous and order-preserving real-valued function, for the class of continuous and ordinal invariant total preorders, defined on the Banach space of all bounded real-valued functions, which are in turn defined on a given set Ω, is ...
Candeal, Juan Carlos +1 more
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Spaces with a Finite Family of Basic Functions
, 2008 A space X is finite dimensional, locally compact and separable metrizable if and only if X has a finite basic family: continuous functions Phi_1,...,Phi_n of X to the reals, R, such that for all continuous f from X to R there are g_1,..., g_n in C(R ...
Gartside, Paul, Ziqin, Feng
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A contour view on uninorm properties [PDF]
, 1999 summary:Any given increasing $[0,1]^2\rightarrow [0,1]$ function is completely determined by its contour lines. In this paper we show how each individual uninorm property can be translated into a property of contour lines.
Su, Yong, Tang, Keming, Wang, Zhudeng
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Sard theorems for Lipschitz functions and applications in optimization [PDF]
, 2016 International audienceWe establish a " preparatory Sard theorem " for smooth functions with a partial affine structure. By means of this result, we improve a previous result of Rifford [14, 16] concerning the generalized (Clarke) critical values of ...
Barbet, Luc +3 more
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Multi-variable translation equation which arises from homothety
, 2010 In many regular cases, there exists a (properly defined) limit of iterations of a function in several real variables, and this limit satisfies the functional equation (1-z)f(x)=f(f(xz)(1-z)/z); here z is a scalar and x is a vector. This is a special case
A. Mach +8 more
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, 2013 Udostępnienie publikacji Wydawnictwa Uniwersytetu Łódzkiego finansowane w ramach projektu „Doskonałość naukowa kluczem do doskonałości kształcenia”. Projekt realizowany jest ze środków Europejskiego Funduszu Społecznego w ramach Programu Operacyjnego ...
Szyszkowski, Marcin
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De Rham compatible Deep Neural Network FEM
, 2022 On general regular simplicial partitions $\mathcal{T}$ of bounded polytopal domains $\Omega \subset \mathbb{R}^d$, $d\in\{2,3\}$, we construct \emph{exact neural network (NN) emulations} of all lowest order finite element spaces in the discrete de Rham ...
Disch, Nico +4 more
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On strong algebrability of families of non-measurable functions of two variables
, 2023 Recently Tomasz Natkaniec in [On lineability of families of non-measurable functions of two variable. Rev. R. Acad. Cienc. Exactas F\'is. Nat. Ser. A Mat. RACSAM, 115(1):Paper No.
Głcab, Szymon +2 more
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