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Some refinements of Jensen's inequality

✍ Scribed by Sever Silvestru Dragomir

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
167 KB
Volume
168
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

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This paper contains a link between Probability Proportional to Size (PPS) sampling and interpolations of the classical Jensen inequality. We show that these interpolating inequalities are, in fact, special cases of the conditional Jensen inequality when applied over an appropriate probability space.

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Using some results of Maligranda, we obtain a generalization of the well known Jensen's inequality which is also a common generalization of inequalities of Holder Γ€nd Minkowski.