AbstractWe study asymptotic behavior of the derivatives of Faber polynomials on a set with corners at the boundary. Our results have applications to the questions of sharpness of Markov inequalities for such sets. In particular, the found asymptotics are related to a general Markov-type inequality of Pommerenke and the associated conjecture of Erdős. We also prove a new bound for Faber polynomials on piecewise smooth domains
Walsh introduced a generalisation of Faber polynomials to certain compact sets which need not be con...
In an answer to a question raised by chemist Mendeleev, A. Markov proved that if is a real polynom...
P. Turán was the first to derive lower estimations on the uniform norm of the derivatives of polynom...
AbstractWe study asymptotic behavior of the derivatives of Faber polynomials on a set with corners a...
AbstractThis article considers the extension of V.A. Markov's theorem for polynomial derivatives to ...
AbstractIn this paper we give sharp Markov–Bernstein type inequalities for derivatives of multivaria...
AbstractThis note presents a Markov-type inequality for polynomials in two variables where the Cheby...
Bernstein- andMarkov-type inequalities are discussed for the derivatives of trigonomet-ric and algeb...
AbstractPolynomials of degree at mostnwhich are real on the real axis and do not vanish in the open ...
Asymptotically sharp Bernstein- and Markov-type inequalities are established for rational functions ...
AbstractOur object is to present an independent proof of the extension of V.A. Markov's theorem to G...
Markov’s inequality is a certain estimate for the norm of the derivative of a polynomial in terms of...
AbstractLet Pnd denote the set of real algebraic polynomials of d variables and of total degree at m...
Essentially sharp Markov-type inequalities are known for various classes of polynomials with constra...
The Faber polynomials for a region of the complex plane are of interest as a basis for polynomial ap...
Walsh introduced a generalisation of Faber polynomials to certain compact sets which need not be con...
In an answer to a question raised by chemist Mendeleev, A. Markov proved that if is a real polynom...
P. Turán was the first to derive lower estimations on the uniform norm of the derivatives of polynom...
AbstractWe study asymptotic behavior of the derivatives of Faber polynomials on a set with corners a...
AbstractThis article considers the extension of V.A. Markov's theorem for polynomial derivatives to ...
AbstractIn this paper we give sharp Markov–Bernstein type inequalities for derivatives of multivaria...
AbstractThis note presents a Markov-type inequality for polynomials in two variables where the Cheby...
Bernstein- andMarkov-type inequalities are discussed for the derivatives of trigonomet-ric and algeb...
AbstractPolynomials of degree at mostnwhich are real on the real axis and do not vanish in the open ...
Asymptotically sharp Bernstein- and Markov-type inequalities are established for rational functions ...
AbstractOur object is to present an independent proof of the extension of V.A. Markov's theorem to G...
Markov’s inequality is a certain estimate for the norm of the derivative of a polynomial in terms of...
AbstractLet Pnd denote the set of real algebraic polynomials of d variables and of total degree at m...
Essentially sharp Markov-type inequalities are known for various classes of polynomials with constra...
The Faber polynomials for a region of the complex plane are of interest as a basis for polynomial ap...
Walsh introduced a generalisation of Faber polynomials to certain compact sets which need not be con...
In an answer to a question raised by chemist Mendeleev, A. Markov proved that if is a real polynom...
P. Turán was the first to derive lower estimations on the uniform norm of the derivatives of polynom...
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