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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
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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: | 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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/4828 |
| 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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