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Refined converses of Jensen’s inequality for operators

✍ Scribed by Mićić, Jadranka; Pečarić, Josip; Perić, Jurica

Book ID
121624445
Publisher
Hindawi Publishing Corporation
Year
2013
Tongue
English
Weight
341 KB
Volume
2013
Category
Article
ISSN
1025-5834

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✍ Mohammad Kazim Khan; Muhammad Hanif 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 268 KB

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.