Bernstein- and Markov-type Inequalities for Rational Functions
Digital Object Identifier (DOI)
Asymptotically sharp Bernstein- and Markov-type inequalities are established for rational functions on C2 smooth Jordan curves and arcs.The results are formulated in terms of the normal derivatives of certain Green’s functions with poles at the poles of the rational functions in question. As a special case (when all the poles are at infinity) the corresponding results for polynomials are recaptured.
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Citation / Publisher Attribution
Acta Mathematica, v. 219, issue 1, p. 21-63
Scholar Commons Citation
Kalmykov, Sergei; Nagy, Béla; and Totik, Vilmos, "Bernstein- and Markov-type Inequalities for Rational Functions" (2017). Mathematics and Statistics Faculty Publications. 64.