Convex Combination Inequalities of the Line and Plane
The paper deals with convex combinations, convex functions, and Jensen’s functionals. The main idea of this work is to present the given convex combination by using two other convex combinations with minimal number of points. For example, as regards the presentation of the planar combination, we use...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/916243 |
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| Summary: | The paper deals with convex combinations, convex functions, and
Jensen’s functionals. The main idea of this work is to present the given convex
combination by using two other convex combinations with minimal number of
points. For example, as regards the presentation of the planar combination, we
use two trinomial combinations. Generalizations to higher dimensions are also
considered. |
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| ISSN: | 1085-3375 1687-0409 |