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On average values of convex functions

✍ Scribed by J. Pečarić,I. Perić,G. Roqia


Book ID
126340890
Publisher
Springer
Year
2013
Tongue
English
Weight
274 KB
Volume
86
Category
Article
ISSN
0001-9054

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Monotonic Averages of Convex Functions
✍ Grahame Bennett; Graham Jameson 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 133 KB

We investigate the monotonicity of various averages of the values of a convex or . concave function at n equally spaced points. For a convex function, averages without end points increase with n, while averages with end points decrease. Averages including one end point are treated as a special case