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The Hermite–Hadamard inequality for log-convex functions

✍ Scribed by Constantin P. Niculescu


Book ID
113811489
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
220 KB
Volume
75
Category
Article
ISSN
0362-546X

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📜 SIMILAR VOLUMES


Hadamard's inequality for log-concave fu
✍ A.M Fink 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 293 KB

Estimates for the average value of a concave function are called Hadamard inequalities. If Lebesgue measure is replaced by a (signed) measure then it is still possible to get interesting and sharp inequalities. Here we extend these inequalities to log-concave functions.