Publication date
April 1990
DOI Publisher
Published by Elsevier Inc. ISSN
0021-9045Abstract
AbstractCertain extremal problems concerning polynomials that have restricted ranges with a node are investigated
AbstractCertain extremal problems concerning polynomials that have restricted ranges with a node are investigated
AbstractWe examine how large the Lp norm on [−1, 1] of the derivative of a real algebraic polynomial...
AbstractA partial answer to a problem of Rivlin (“Abstract Spaces and Approximation,” Berkhäuser Ver...
AbstractThe sequence of extremal problems In = sup{(2π)−1 ∝02π¦p(θ)¦2 dθ¦pϵ Pn}, where Pn denotes th...
AbstractLet S, T ∈ Q[X] be polynomials over the rational numbers of degrees m, n respectively where ...
AbstractFor a polynomial having a non-constant upper bound on an interval, we derive upper bounds va...
AbstractThe inequality Tn(xy) ⩽ Tn(x) Tn(y), x, y ⩾ 1, where Tn(x) is the Tchebycheff polynomial of ...
AbstractCertain extremal problems concerning polynomials that have restricted ranges with a node are...
AbstractOne method of obtaining near minimax polynomial approximation to f ∈ C(n + 1)[−1, 1] is to c...
AbstractAs is well known the Tchebycheff polynomial of degree n minimizes the sup norm over all moni...
AbstractLet T be a polynomial of degree N and let K be a compact set with C. First it is shown, if z...
AbstractA conjecture of Z. Ditzian on Bernstein polynomials is proved. This yields additional inform...
We determine which sets saturate the Szegő and Schiefermayr lower bounds on the norms of Chebyshev P...
AbstractLetφ:(−∞, ∞)→(0, ∞) be a given continuous even function and letmbe a positive integer. We sh...
The paper presents new solutions to two classical problems of approximation theory. The first proble...
AbstractLet r = pλ, K = Fr(t), f be an irreducible monic polynomial in Fr[t], K(Λf) the cyclotomic f...
AbstractWe examine how large the Lp norm on [−1, 1] of the derivative of a real algebraic polynomial...
AbstractA partial answer to a problem of Rivlin (“Abstract Spaces and Approximation,” Berkhäuser Ver...
AbstractThe sequence of extremal problems In = sup{(2π)−1 ∝02π¦p(θ)¦2 dθ¦pϵ Pn}, where Pn denotes th...
AbstractLet S, T ∈ Q[X] be polynomials over the rational numbers of degrees m, n respectively where ...
AbstractFor a polynomial having a non-constant upper bound on an interval, we derive upper bounds va...
AbstractThe inequality Tn(xy) ⩽ Tn(x) Tn(y), x, y ⩾ 1, where Tn(x) is the Tchebycheff polynomial of ...
AbstractCertain extremal problems concerning polynomials that have restricted ranges with a node are...
AbstractOne method of obtaining near minimax polynomial approximation to f ∈ C(n + 1)[−1, 1] is to c...
AbstractAs is well known the Tchebycheff polynomial of degree n minimizes the sup norm over all moni...
AbstractLet T be a polynomial of degree N and let K be a compact set with C. First it is shown, if z...
AbstractA conjecture of Z. Ditzian on Bernstein polynomials is proved. This yields additional inform...
We determine which sets saturate the Szegő and Schiefermayr lower bounds on the norms of Chebyshev P...
AbstractLetφ:(−∞, ∞)→(0, ∞) be a given continuous even function and letmbe a positive integer. We sh...
The paper presents new solutions to two classical problems of approximation theory. The first proble...
AbstractLet r = pλ, K = Fr(t), f be an irreducible monic polynomial in Fr[t], K(Λf) the cyclotomic f...
AbstractWe examine how large the Lp norm on [−1, 1] of the derivative of a real algebraic polynomial...
AbstractA partial answer to a problem of Rivlin (“Abstract Spaces and Approximation,” Berkhäuser Ver...
AbstractThe sequence of extremal problems In = sup{(2π)−1 ∝02π¦p(θ)¦2 dθ¦pϵ Pn}, where Pn denotes th...
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