Smooth convex extensions of convex functions (Q2415218)

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Language	Label	Description	Also known as
English	Smooth convex extensions of convex functions	scientific article

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scholarly article

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Smooth convex extensions of convex functions (English)

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Calculus of Variations and Partial Differential Equations

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publication date

21 May 2019

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full work available at URL

https://arxiv.org/abs/1501.05226

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MaRDI profile type

MaRDI publication profile

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Whitney extension theorems for convex functions of the classes C1 and C1,ω

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Explicit formulas for \(C^{1,1}\) and \(C_{\operatorname{conv}}^{1, \omega}\) extensions of 1-jets in Hilbert and superreflexive spaces

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Global geometry and \(C^1\) convex extensions of 1-jets

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Every closed convex set is the set of minimizers of some $C^{\infty }$-smooth convex function

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Differentiable functions defined in closed sets. A problem of Whitney

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Higher-order tangents and Fefferman's paper on Whitney's extension problem

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Methods of Geometric Analysis in Extension and Trace Problems

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Whitney’s extension problem for multivariate 𝐶^{1,𝜔}-functions

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On the continuity and regularity of convex extensions

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A sharp form of Whitney's extension theorem

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Whitney's extension problem for \(C^m\)

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Whitney’s extension problems and interpolation of data

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Sobolev extension by linear operators

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Strictly convex submanifolds and hypersurfaces of positive curvature.

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The problem of optimal smoothing for convex functions

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OPTIMAL SMOOTHING FOR CONVEX POLYTOPES

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Étude de quelques algèbres tayloriennes

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On the Smoothness of Convex Envelopes

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A bounded linear extension operator for \(L^{2,p}(\mathbb R^2)\)

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Differentiability of convex envelopes

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Sobolev \(W_p^1\)-spaces on closed subsets of \(\mathbf R^n\)

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Sobolev \(L_p^2\)-functions on closed subsets of \(\mathbb R^2\)

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Finite extensions of convex functions

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On extensions of d.c. functions and convex functions

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Extension of Convex Function

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Identifiers

zbMATH Open document ID

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10.1007/s00526-019-1542-z

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2415218

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