1 Introduction
2 Covering functionals of convex cones
m
| 3 | 4 | 5 | 6 | 7 | 8 |
\(\Gamma_{m}(\Delta)\)
|
\(\frac{2}{3}\)
|
\(\frac{4}{7}\)
|
\(\frac {8}{15}\)
|
\(\frac{1}{2}\)
|
\(\frac{5}{11}\)
|
\(\frac{3}{7}\)
|
\(\Gamma_{m}(T)\)
| 1 |
\(\frac{3}{4}\)
|
\(\frac{9}{13}\)
| – | – | – |
\(\Gamma_{m}(C)\)
| 1 |
\({\leq}\frac{3}{4}\)
|
\({\leq}\frac{7}{10}\)
|
\({\leq}\frac{15}{22}\)
|
\({\leq}\frac{2}{3}\)
|
\({\leq}\frac{11}{17}\)
|
3 Covering functionals of double cones
m
| 3 | 4 | 5 | 6 | 7 | 8 |
\(\Gamma_{m}(K_{1}^{2})\)
| 1 |
\(\frac{1}{2}\)
|
\(\frac{1}{2}\)
|
\(\frac {1}{2}\)
|
\(\frac{1}{2}\)
|
\(\frac{1}{2}\)
|
\(\Gamma_{m}(K_{1}^{3})\)
| 1 | 1 | 1 |
\(\frac{2}{3}\)
|
\(\frac{2}{3}\)
|
\(\frac{2}{3}\)
|
\(\Gamma_{m}(C)\)
| 1 | 1 | 1 |
\(\leq\frac{2}{3}\)
|
\(\leq\frac{2}{3}\)
|
\(\leq\frac{2}{3}\)
|