Moments of convex and monotone functions
β Scribed by Togo Nishiura; Franz Schnitzer
- Publisher
- Springer Vienna
- Year
- 1972
- Tongue
- English
- Weight
- 115 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0026-9255
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
There are basic equivalent assertions known for operator monotone functions and operator convex functions in two papers by Hansen and Pedersen. In this note we consider their results as correlation problem between two sequences of matrix n-monotone functions and matrix n-convex functions, and we foc