✦ LIBER ✦
Extremal Approximately Convex Functions and the Best Constants in a Theorem of Hyers and Ulam
✍ Scribed by S.J. Dilworth; Ralph Howard; James W. Roberts
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 257 KB
- Volume
- 172
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
✦ Synopsis
Let n51 and B52: A real-valued function f defined on the n-simplex D n is approximately convex with respect to
We determine the extremal function of this type which vanishes on the vertices of D n : We also prove a stability theorem of Hyers-Ulam type which yields as a special case the best constants in the Hyers-Ulam stability theorem for e-convex functions. # 2002 Elsevier Science (USA)