Buckley, Stephen M. and Hamza, Safia
(2013)
Best constants for metric space inversion inequalities.
Central European Journal of Mathematics, 11 (5).
pp. 865-875.
ISSN 1895-1074
Abstract
For every metric space
(
X;d
)
and origin
o
∈
X
, we show the inequality
I
o
(
x;y
)
≤
2
d
o
(
x;y
)
, where
I
o
(
x;y
) =
d
(
x;y
)
/d
(
x;o
)
d
(
y;o
)
is the metric space inversion semimetric,
d
o
is a metric subordinate to
I
o
, and
x;y
∈
X
\{
o
}
.
The constant
2
is best possible.
| Item Type: |
Article
|
| Keywords: |
Metric space inversion; Best constant; |
| Academic Unit: |
Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: |
4828 |
| Identification Number: |
https://doi.org/10.2478/s11533-013-0213-0 |
| Depositing User: |
Prof. Stephen Buckley
|
| Date Deposited: |
13 Mar 2014 11:55 |
| Journal or Publication Title: |
Central European Journal of Mathematics |
| Publisher: |
Versita |
| Refereed: |
Yes |
| URI: |
|
| Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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