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Partition functions as averages of functionals of gaussian random functions

✍ Scribed by A.J.F. Siegert


Publisher
Elsevier Science
Year
1960
Weight
312 KB
Volume
26
Category
Article
ISSN
0031-8914

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Monotonic Averages of Convex Functions
✍ Grahame Bennett; Graham Jameson πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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