Minimization of a quasi-differentiable function in a quasi-differentiable set
โ Scribed by V.F. Dem'yanov; L.N. Polyakova
- Publisher
- Elsevier Science
- Year
- 1980
- Weight
- 509 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0041-5553
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We study analogues of sampling sets for analytic functions in cones of C n . Cartwright-type and Bernstein-type theorems, previously known only for functions of exponential type in C n , are extended to the case of functions of arbitrary order in a cone.
It is shown that for any directed quasi-ordered set (Q, ~<), there is a minimal ordinal number h such that every cofinal subset of Q contains a cofinal subset which is the 0-th class original set of a pure h-th class chain of Q. A special case of our results gives necessary and sufficient conditions