AbstractWe obtain a sharp inequality for trigonometric polynomials which have a double zero at a specified point. A similar extremal problem has been studied by R.P. Boas Jr
In this paper we review various results about nonnegative trigonometric polynomials. The emphasis is...
Abstract. We obtain a sharp Remez inequality for the trigonometric polynomial Tn of degree n on [0, ...
Let {pn}∞n=0 be a sequence of orthogonal polynomials. We briefly review properties of pn t...
AbstractThe sequence of extremal problems In = sup{(2π)−1 ∝02π¦p(θ)¦2 dθ¦pϵ Pn}, where Pn denotes th...
AbstractCertain extremal problems concerning polynomials that have restricted ranges with a node are...
AbstractThree extremal problems for trigonometric polynomials are studied in this paper. The first w...
12 pages, no figures.-- MSC2000 codes: 30E15, 41A60.Zbl#: Zbl 1084.30043We study the zero location a...
12 pages, no figures.-- MSC2000 codes: 30E15, 41A60.Zbl#: Zbl 1084.30043We study the zero location a...
10.1016/S0096-3003(01)00070-4Applied Mathematics and Computation1282-3151-166AMHC
The well-known Sendov Conjecture asserts that if all the zeros of a polynomial p lie in the closed u...
AbstractWe study the zero location and asymptotic zero distribution of sequences of polynomials whic...
In this paper we present two classes of extremal approximating functions. These functions have the p...
Abstract. Let {pn} n=0 be a sequence of orthogonal polynomials. We briefly review properties of pn t...
AbstractThe sequence of extremal problems In = sup{(2π)−1 ∝02π¦p(θ)¦2 dθ¦pϵ Pn}, where Pn denotes th...
AbstractLet t be a real trigonometric polynomial of degree n with only real zeros. Among the interva...
In this paper we review various results about nonnegative trigonometric polynomials. The emphasis is...
Abstract. We obtain a sharp Remez inequality for the trigonometric polynomial Tn of degree n on [0, ...
Let {pn}∞n=0 be a sequence of orthogonal polynomials. We briefly review properties of pn t...
AbstractThe sequence of extremal problems In = sup{(2π)−1 ∝02π¦p(θ)¦2 dθ¦pϵ Pn}, where Pn denotes th...
AbstractCertain extremal problems concerning polynomials that have restricted ranges with a node are...
AbstractThree extremal problems for trigonometric polynomials are studied in this paper. The first w...
12 pages, no figures.-- MSC2000 codes: 30E15, 41A60.Zbl#: Zbl 1084.30043We study the zero location a...
12 pages, no figures.-- MSC2000 codes: 30E15, 41A60.Zbl#: Zbl 1084.30043We study the zero location a...
10.1016/S0096-3003(01)00070-4Applied Mathematics and Computation1282-3151-166AMHC
The well-known Sendov Conjecture asserts that if all the zeros of a polynomial p lie in the closed u...
AbstractWe study the zero location and asymptotic zero distribution of sequences of polynomials whic...
In this paper we present two classes of extremal approximating functions. These functions have the p...
Abstract. Let {pn} n=0 be a sequence of orthogonal polynomials. We briefly review properties of pn t...
AbstractThe sequence of extremal problems In = sup{(2π)−1 ∝02π¦p(θ)¦2 dθ¦pϵ Pn}, where Pn denotes th...
AbstractLet t be a real trigonometric polynomial of degree n with only real zeros. Among the interva...
In this paper we review various results about nonnegative trigonometric polynomials. The emphasis is...
Abstract. We obtain a sharp Remez inequality for the trigonometric polynomial Tn of degree n on [0, ...
Let {pn}∞n=0 be a sequence of orthogonal polynomials. We briefly review properties of pn t...
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