Variants of Čebyšev's inequality with applications
: Several variants of Čebyšev's inequality for two monotonic -tuples and also nonnegative -tuples monotonic in the same direction are presented. Immediately after that their refinements of Ostrowski's type are given. Obtained results are used to prove generalizations of discrete Milne'...
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| Veröffentlicht in: | Journal of inequalities and applications 2006-06, Vol.2006 (1), p.39692-39692 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | : Several variants of Čebyšev's inequality for two monotonic
-tuples and also
nonnegative
-tuples monotonic in the same direction are presented. Immediately after that their refinements of Ostrowski's type are given. Obtained results are used to prove generalizations of discrete Milne's inequality and its converse in which weights satisfy conditions as in the Jensen-Steffensen inequality. |
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| ISSN: | 1029-242X 1025-5834 1029-242X |
| DOI: | 10.1186/1029-242X-2006-39692 |