AbstractPolynomials of degree at mostnwhich are real on the real axis and do not vanish in the open unit disk are considered. Sharp point-wise bounds for the derivativep′(x) at an arbitrarily prescribed pointx0of the unit interval, in terms of the maximum of |p(x)| on [−1, 1] are obtained. Certain other related problems are also solved
AbstractThere is a series of publications which have considered inequalities of Markov–Bernstein–Nik...
2000 Mathematics Subject Classification: 26C05, 26C10, 30A12, 30D15, 42A05, 42C05.In this paper we p...
AbstractMarkov's inequality asserts that max−1⩽x⩽1|p′(x)|⩽n2max−1⩽x⩽1|p(x)| (1) for every polynomial...
AbstractWe show that[formula]in the uniform norm for every real algebraic polynomialfof degreenwhich...
AbstractLet Pnd denote the set of real algebraic polynomials of d variables and of total degree at m...
AbstractDenote by πn the set of all real algebraic polynomials of degree at most n and let Un≔{e-x2p...
AbstractLet 0<p<∞ and 0⩽α<β⩽2π. We prove that for n⩾1 and trigonometric polynomials sn of degree ⩽n,...
AbstractLet I=[0,d), where d is finite or infinite. Let Wρx=xρexp-Qx, where ρ>-12 and Q is continuou...
AbstractIn this paper we study the extremal polynomials for the Markov inequality on a convex symmet...
AbstractNecessary conditions of normal pointsystems for Hermite–Fejér interpolation of arbitrary (ev...
Abstract. In this paper, we study the growth of polynomials of degree n having all its zeros on |z| ...
AbstractLet 0<p<∞ and 0⩽α<β⩽2π. We prove that for trigonometric polynomials sn of degree ⩽n, we have...
AbstractLet ‖·‖ be the weighted L2-norm with Laguerre weight w(t)=tαe−t, α>−1. Let Pn be the set of ...
AbstractLetn>2 be an integer, and for each integer 0<a<nwith (a, n)=1, defineāby the congruenceaā≡1 ...
AbstractUsing ideas of Freud (j. Approx. Theory 19 (1977), 22–37) Mhaskar and Saff (Trans. Amer. Mat...
AbstractThere is a series of publications which have considered inequalities of Markov–Bernstein–Nik...
2000 Mathematics Subject Classification: 26C05, 26C10, 30A12, 30D15, 42A05, 42C05.In this paper we p...
AbstractMarkov's inequality asserts that max−1⩽x⩽1|p′(x)|⩽n2max−1⩽x⩽1|p(x)| (1) for every polynomial...
AbstractWe show that[formula]in the uniform norm for every real algebraic polynomialfof degreenwhich...
AbstractLet Pnd denote the set of real algebraic polynomials of d variables and of total degree at m...
AbstractDenote by πn the set of all real algebraic polynomials of degree at most n and let Un≔{e-x2p...
AbstractLet 0<p<∞ and 0⩽α<β⩽2π. We prove that for n⩾1 and trigonometric polynomials sn of degree ⩽n,...
AbstractLet I=[0,d), where d is finite or infinite. Let Wρx=xρexp-Qx, where ρ>-12 and Q is continuou...
AbstractIn this paper we study the extremal polynomials for the Markov inequality on a convex symmet...
AbstractNecessary conditions of normal pointsystems for Hermite–Fejér interpolation of arbitrary (ev...
Abstract. In this paper, we study the growth of polynomials of degree n having all its zeros on |z| ...
AbstractLet 0<p<∞ and 0⩽α<β⩽2π. We prove that for trigonometric polynomials sn of degree ⩽n, we have...
AbstractLet ‖·‖ be the weighted L2-norm with Laguerre weight w(t)=tαe−t, α>−1. Let Pn be the set of ...
AbstractLetn>2 be an integer, and for each integer 0<a<nwith (a, n)=1, defineāby the congruenceaā≡1 ...
AbstractUsing ideas of Freud (j. Approx. Theory 19 (1977), 22–37) Mhaskar and Saff (Trans. Amer. Mat...
AbstractThere is a series of publications which have considered inequalities of Markov–Bernstein–Nik...
2000 Mathematics Subject Classification: 26C05, 26C10, 30A12, 30D15, 42A05, 42C05.In this paper we p...
AbstractMarkov's inequality asserts that max−1⩽x⩽1|p′(x)|⩽n2max−1⩽x⩽1|p(x)| (1) for every polynomial...
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