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20042025
most citedAsymptotically sharp Markov and Schur inequalities on general sets

12 citations · 15 across the 8 of their papers we have counts for

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math.CV2021

Bernstein- and Markov-type inequalities

Sergei Kalmykov, Béla Nagy, Vilmos Totik

This survey discusses the classical Bernstein and Markov inequalities for the derivatives of polynomials, as well as some of their extensions to general sets.

math.CV2016

Bernstein- and Markov-type inequalities for rational functions

Sergei Kalmykov, Béla Nagy, Vilmos Totik

Asymptotically sharp Bernstein- and Markov-type inequalities are established for rational functions on smooth Jordan curves and arcs. The results are formulated in terms of t…

math.CV2014★ 12 cited

Asymptotically sharp Markov and Schur inequalities on general sets

Sergei Kalmykov, Bela Nagy, Vilmos Totik

Markov's inequality for algebraic polynomials on goes back to more than a century and it is widely used in approximation theory. Its asymptotically sharp form f…