On Bernoulli Sums and Bernstein Polynomials

In the paper we discuss a technology based on Bernstein polynomials of asymptotic analysis of a class of binomial sums that arise in information theory. Our method gives a quick derivation of required sums and can be generalized to multinomial distributions. As an example we derive a formula for the...

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Bibliographic Details
Main Authors: Jacek Cichoń, Zbigniew Gołębiewski
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2012-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2993/pdf