The Converse of Pólya’s Mean Value Theorem
✍ Scribed by Muldowney, James S.
- Book ID
- 118201586
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1987
- Tongue
- English
- Weight
- 612 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0036-1410
- DOI
- 10.1137/0518095
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We prove a rather general mean-value formula in the theory of elasticity, which expresses the value of the displacement at the centre of a sphere in terms of certain combinations of integral averages over the sphere itself of the traction and the displacement. We also establish the corresponding con
In his paper [l] P6lya defines the following function P, mapping the interval [0, I] onto a right triangle T. Let t be any number in the unit interval; expand it into a binary fraction: t = .d,d, ... The n-th digit d,(t) of t is either 0 or 1. For each t we assign a sequence of nested triangles T