𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Powers of Chords for Convex Sets

✍ Scribed by Dr. sc. K. Voss


Publisher
John Wiley and Sons
Year
1982
Tongue
English
Weight
154 KB
Volume
24
Category
Article
ISSN
0323-3847

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Centres of Convex Sets inLpMetrics
✍ Krzysztof PrzesΕ‚awski πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 397 KB

It is shown that for each convex body A/R n there exists a naturally defined family G A /C(S n&1 ) such that for every g # G A , and every convex function f : R Γ„ R the mapping y [ S n&1 f ( g(x)&( y, x)) d\_(x) has a minimizer which belongs to A. As an application, approximation of convex bodies by

The Adaption Problem for Nonsymmetric Co
✍ E. Novak πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 329 KB

We study the problem of optimal recovery in the case of a nonsymmetric convex class of functions. We compare adaptive and nonadaptive methods and prove a bound on how much better adaptive methods can be. We use new inequalities between Gelfand widths and Bernstein widths and new relations between th

Bounds for linear functionals on convex
✍ Walter Roth πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 187 KB

## Abstract We consider continuous monotone linear functionals on a locally convex ordered topological vector space that are sandwiched between a given \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$(\mathbb R\cup \lbrace +\infty \rbrace )$\end{document}‐valued subline

On Separation of Plane Convex Sets
✍ Eduardo Rivera-Campo; JenΓΆ TΓΆrΓΆcsik πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 77 KB

We show that in any family \(F\) of \(n \geqslant 5\) convex sets in the plane with pairwise disjoint relative interiors, there are two sets \(A\) and \(B\) such that every line that separates them, separates either \(A\) or \(B\) from at least \((n+28) / 30\) sets in \(F\).

Absolute Continuity for Curvature Measur
✍ Daniel Hug πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 243 KB

This work is devoted to the investigation of the basic relationship between the geometric shape of a convex set and measure theoretic properties of the associated curvature and surface area measures. We study geometric consequences of and conditions for absolute continuity of curvature and surface a

Root Sets of Polynomials Modulo Prime Po
✍ Davesh Maulik πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 194 KB

A subset R of the integers modulo n is defined to be a root set if it is the set of roots of some polynomial. Using the Chinese Remainder Theorem, the question of finding and counting root sets mod n is reduced to finding root sets modulo a prime power. In this paper, we provide a recursive construc