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Sub differential Monotonicity as Characterization of Convex Functions

✍ Scribed by Correa, Rafael; Jofrè, Alejandro; Thibault, Lionel


Book ID
121418806
Publisher
Taylor and Francis Group
Year
1994
Tongue
English
Weight
447 KB
Volume
15
Category
Article
ISSN
0163-0563

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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