Jensen-Mercer inequality (CROSBI ID 537812)
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Podaci o odgovornosti
Matković, Anita ; Pečarić, Josip
engleski
Jensen-Mercer inequality
We consider the Jensen-Mercer inequality in various spaces and for several types real valued functions. This also enables us to define a variety of weighted means and to explore their relationships. Besides of the Mercer's variant of Jensen's inequality, we show analogous variant of the Jensen-Steffensen inequality, from which similar variants of some other well-known inequalities, such as Čebyšev's inequality for monotone n-tuples, Milne's inequality, Beck's and related inequalities for means with weights satisfying conditions of Jensen-Steffensen's type, can be obtained.
Jensen's inequality; convex functions; power means; quasi-arithmetic means
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Podaci o prilogu
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nije evidentirano
Podaci o skupu
3rd International Conference on 21st Century Mathematics 2007
predavanje
04.03.2007-07.03.2007
Lahore, Pakistan