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Erschienen in: Journal of Inequalities and Applications 1/2006

Open Access 01.12.2006 | Research Article

Variants of Čebyšev's inequality with applications

verfasst von: M. Klaričić Bakula, A. Matković, J. Pečarić

Erschienen in: Journal of Inequalities and Applications | Ausgabe 1/2006

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Abstract

Several variants of Čebyšev's inequality for two monotonic https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F39692/MediaObjects/13660_2005_Article_1592_IEq1_HTML.gif -tuples and also https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F39692/MediaObjects/13660_2005_Article_1592_IEq2_HTML.gif nonnegative https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F39692/MediaObjects/13660_2005_Article_1592_IEq3_HTML.gif -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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Metadaten
Titel
Variants of Čebyšev's inequality with applications
verfasst von
M. Klaričić Bakula
A. Matković
J. Pečarić
Publikationsdatum
01.12.2006
Verlag
Springer International Publishing
Erschienen in
Journal of Inequalities and Applications / Ausgabe 1/2006
Elektronische ISSN: 1029-242X
DOI
https://doi.org/10.1155/JIA/2006/39692

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