AbstractWe show that for any function ϑ: N → R+ one can find a Cantor set C and a trigonometric polynomial T of order d(T) such that the generalized Bernstein inequality ∥T′∥c ⩽ ϑ(d(T)) ∥T∥c does not hold. Furthermore, if ϑ(n) ⩽ Mnϱ (for some M and ϱ > 1), the set C can be chosen to be regular with respect to the Green's function of C\C with pole at ∞. Analogous results are established for algebraic polynomials and Markov's inequality
AbstractFor a polynomial Pn of total degree n and a bounded convex set S it will be shown that for 0...
AbstractIn this paper we complete some results of (J. Approx. Theory69 (1992), 156-166) and give a g...
In this work we discuss generalizations of the classical Bernstein and Markov type inequalities for ...
AbstractWe show that for any function ϑ: N → R+ one can find a Cantor set C and a trigonometric poly...
Bernstein- andMarkov-type inequalities are discussed for the derivatives of trigonomet-ric and algeb...
AbstractFor a polynomial Pn of total degree n and a bounded convex set S it will be shown that for 0...
In an answer to a question raised by chemist Mendeleev, A. Markov proved that if is a real polynom...
AbstractOn compact sets preserving Markov's inequality, Bernstein-type conditions for a continuous f...
subsets of [−1,1] and [−π,π], respectively. The primary purpose of this noteis to extend Markov’sand...
AbstractOn compact sets preserving Markov's inequality, Bernstein-type conditions for a continuous f...
We extend Markov's, Bernsteins's, and Videnskii's inequalities to arbitrary subsets o...
AbstractLet Fn denote the set of polynomials of degree at most n with coefficients from {−1,0, 1}. L...
Asymptotically sharp Bernstein- and Markov-type inequalities are established for rational functions ...
Asymptotically sharp Bernstein- and Markov-type inequalities are established for rational functions ...
Abstract. Various important weighted polynomial inequalities, such as Bernstein, Marcinkiewicz, Niko...
AbstractFor a polynomial Pn of total degree n and a bounded convex set S it will be shown that for 0...
AbstractIn this paper we complete some results of (J. Approx. Theory69 (1992), 156-166) and give a g...
In this work we discuss generalizations of the classical Bernstein and Markov type inequalities for ...
AbstractWe show that for any function ϑ: N → R+ one can find a Cantor set C and a trigonometric poly...
Bernstein- andMarkov-type inequalities are discussed for the derivatives of trigonomet-ric and algeb...
AbstractFor a polynomial Pn of total degree n and a bounded convex set S it will be shown that for 0...
In an answer to a question raised by chemist Mendeleev, A. Markov proved that if is a real polynom...
AbstractOn compact sets preserving Markov's inequality, Bernstein-type conditions for a continuous f...
subsets of [−1,1] and [−π,π], respectively. The primary purpose of this noteis to extend Markov’sand...
AbstractOn compact sets preserving Markov's inequality, Bernstein-type conditions for a continuous f...
We extend Markov's, Bernsteins's, and Videnskii's inequalities to arbitrary subsets o...
AbstractLet Fn denote the set of polynomials of degree at most n with coefficients from {−1,0, 1}. L...
Asymptotically sharp Bernstein- and Markov-type inequalities are established for rational functions ...
Asymptotically sharp Bernstein- and Markov-type inequalities are established for rational functions ...
Abstract. Various important weighted polynomial inequalities, such as Bernstein, Marcinkiewicz, Niko...
AbstractFor a polynomial Pn of total degree n and a bounded convex set S it will be shown that for 0...
AbstractIn this paper we complete some results of (J. Approx. Theory69 (1992), 156-166) and give a g...
In this work we discuss generalizations of the classical Bernstein and Markov type inequalities for ...
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