Affiliation:
1. Georgia Institute of Technology, School of Mathematics, Atlanta, USA
Abstract
We prove weighted Markov-Bernstein inequalities of the form ????
|f?(x)|pw(x) dx ? C(? + 1)p ???? |f(x)|pw(x) dx Here w satisfies certain
doubling type properties, f is an entire function of exponential type ? ?, p
> 0, and C is independent of f and ?. For example, w(x) = (1 + x2)?
satisfies the conditions for any ? ? R. Classical doubling inequalities of
Mastroianni and Totik inspired this result.
Publisher
National Library of Serbia
Cited by
4 articles.
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