AbstractUpper bounds of the exact order of magnitude in n are given for max−1⩽x⩽1|p′(x)|max−1⩽x⩽1|p(x)|for polynomials p of degree n, free of zeros in certain regions containing the interval (−1, 1)
AbstractWe prove a weighted inequality for algebraic polynomials and their derivatives inLp[−1, 1] w...
Essentially sharp Markov-type inequalities are known for various classes of polynomials with constra...
AbstractIn this paper we obtainLp,p≥1, inequalities for the class of polynomials having no zeros in ...
AbstractUpper bounds of the exact order of magnitude in n are given for max−1⩽x⩽1|p′(x)|max−1⩽x⩽1|p(...
AbstractMarkov's inequality asserts that max−1⩽x⩽1|p′(x)|⩽n2max−1⩽x⩽1|p(x)| (1) for every polynomial...
AbstractLet Fn denote the set of polynomials of degree at most n with coefficients from {−1,0, 1}. L...
AbstractExtremal problems of Markov type are studied, concerning maximization of a local extremum of...
It is shown that c1 nmax{k +1,log n}# sup c 2 n max{k +1,log n} with absolute constants c1 &...
Let {pn}1 n=0 be a sequence of orthogonal polynomials. We briefly review properties of pn that have ...
AbstractIf P(z)=∑ν=0ncνzν is a polynomial of degree n having no zeros in |z|<1, then for |β|⩽1, it w...
In 1939 P. Turán started to derive lower estimations on the norm of the derivatives of polynomials o...
AbstractLet p(z) = ∑v = 0navzv be a polynomial of degree n having no zeros in ¦z¦ < k, k ⩾ 1. Then w...
AbstractWe use mixed three term recurrence relations typically satisfied by classical orthogonal pol...
AbstractGeneralized polynomials are defined as products of polynomials raised to positive real power...
AbstractIn 1916 S. N. Bernstein observed that every polynomial p having no zeros in (−1, 1) can be w...
AbstractWe prove a weighted inequality for algebraic polynomials and their derivatives inLp[−1, 1] w...
Essentially sharp Markov-type inequalities are known for various classes of polynomials with constra...
AbstractIn this paper we obtainLp,p≥1, inequalities for the class of polynomials having no zeros in ...
AbstractUpper bounds of the exact order of magnitude in n are given for max−1⩽x⩽1|p′(x)|max−1⩽x⩽1|p(...
AbstractMarkov's inequality asserts that max−1⩽x⩽1|p′(x)|⩽n2max−1⩽x⩽1|p(x)| (1) for every polynomial...
AbstractLet Fn denote the set of polynomials of degree at most n with coefficients from {−1,0, 1}. L...
AbstractExtremal problems of Markov type are studied, concerning maximization of a local extremum of...
It is shown that c1 nmax{k +1,log n}# sup c 2 n max{k +1,log n} with absolute constants c1 &...
Let {pn}1 n=0 be a sequence of orthogonal polynomials. We briefly review properties of pn that have ...
AbstractIf P(z)=∑ν=0ncνzν is a polynomial of degree n having no zeros in |z|<1, then for |β|⩽1, it w...
In 1939 P. Turán started to derive lower estimations on the norm of the derivatives of polynomials o...
AbstractLet p(z) = ∑v = 0navzv be a polynomial of degree n having no zeros in ¦z¦ < k, k ⩾ 1. Then w...
AbstractWe use mixed three term recurrence relations typically satisfied by classical orthogonal pol...
AbstractGeneralized polynomials are defined as products of polynomials raised to positive real power...
AbstractIn 1916 S. N. Bernstein observed that every polynomial p having no zeros in (−1, 1) can be w...
AbstractWe prove a weighted inequality for algebraic polynomials and their derivatives inLp[−1, 1] w...
Essentially sharp Markov-type inequalities are known for various classes of polynomials with constra...
AbstractIn this paper we obtainLp,p≥1, inequalities for the class of polynomials having no zeros in ...
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