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Title

Some properties of multivariate beta operator

Authors

Year of publication

2009

Published in

Fasciculi Mathematici

Journal year: 2009 | Journal number: nr 41

Article type

scientific article

Publication language

english

Keywords
EN
  • multivariate beta operator
  • Dirichlet distribution
  • Lipschitz constant
  • modulus of continuity function
Abstract

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).

Pages (from - to)

31 - 43

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

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