Some properties of multivariate beta operator
2009
scientific article
english
- multivariate beta operator
- Dirichlet distribution
- Lipschitz constant
- modulus of continuity function
EN This work relates to multivariate beta operator which is expressed shortly as Bn. We show that the operator preserves Lipschitz constant of a Lipschitz continuous function and semi-additivity of the relevant operand. Furthermore, we provide an r-th order generalisation, B(n) [r], of B(n).
31 - 43
CC BY-NC-ND (attribution - noncommercial - no derivatives)
public