Markov inequality for polynomials of degree n with m distinct zeros

نویسندگان

  • David Benko
  • Tamás Erdélyi
چکیده

for all polynomials of degree at most n with real coefficients. There is a huge literature about Markov-type inequalities for constrained polynomials. In particular, several essentially sharp improvements are known for various classes of polynomials with restricted zeros. Here we just refer to [1], and the references therein. Let P n be the collection of all polynomials of degree at most n with real coefficients that have at most m distinct complex zeros. We prove the following.

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عنوان ژورنال:
  • Journal of Approximation Theory

دوره 122  شماره 

صفحات  -

تاریخ انتشار 2003