Search Results - "PRITSKER, I. E"

Expected number of real zeros for random linear combinations of orthogonal polynomials by Lubinsky, D.S., Pritsker, I.E., Xie, X.

“…We study the expected number of real zeros for random linear combinations of orthogonal polynomials. It is well known that Kac polynomials, spanned by…”
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Monic integer Chebyshev problem by BORWEIN, P. B, PINNER, C. G, PRITSKER, I. E

“…We study the problem of minimizing the supremum norm by monic polynomials with integer coefficients. Let {\M}_n({\Z}) denote the monic polynomials of degree n…”
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On zeros of polynomials orthogonal over a convex domain by ANDRIEVSKII, V. V, PRITSKER, I. E, VARGA, R. S

“…We establish a discrepancy theorem for signed measures, with a given positive part, which are supported on an arbitrary convex curve. As a main application, we…”
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Convergence of Bieberbach polynomials in domains with interior cusps by Andrievskii, V V, Pritsker, I E

“…We extend the results on the uniform convergence of Bieberbach polynomials for domains with certain interior zero angles (outward pointing cusps) and show that…”
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Weighted rational approximation in the complex plane by Pritsker, I.E., Varga, R.S.

“…Given a triple ( G, W, γ) of an open bounded set G in the complex plane, a weight function W(z) which is analytic and different from zero in G, and a number γ…”
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Weighted polynomial approximation in the complex plane by PRITSKER, I. E, VARGA, R. S

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Approximation of conformal mappings of annular regions by PAPAMICHAEL, N, PRITSKER, I. E, SAFF, E. B, STYLIANOPOULOS, N. S

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Reverse triangle inequalities for Riesz potentials and connections with polarization by Pritsker, I.E., Saff, E.B., Wise, W.

“…We study reverse triangle inequalities for Riesz potentials and their connection with polarization. This work generalizes inequalities for sup-norms of…”
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The Multivariate Integer Chebyshev Problem by Borwein, P. B., Pritsker, I. E.

“…The multivariate integer Chebyshev problem is to find polynomials with integer coefficients that minimize the supremum norm over a compact set in ℂ d . We…”
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INEQUALITIES FOR PRODUCTS OF POLYNOMIALS I by PRITSKER, I. E., RUSCHEWEYH, S.

“…We study inequalities connecting the product of uniform norms of polynomials with the norm of their product. This circle of problems include the Gelfond-Mahler…”
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Reverse triangle inequalities for potentials by Pritsker, I.E., Saff, E.B.

“…We study the reverse triangle inequalities for suprema of logarithmic potentials on compact sets of the plane. This research is motivated by the inequalities…”
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Asymptotic Zero Distribution of Laurent-Type Rational Functions by Papamichael, N, Pritsker, I.E, Saff, E.B

“…We study convergence and asymptotic zero distribution of sequences of rational functions with fixed location of poles that approximate an analytic function in…”
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Inequalities for products of polynomials I by Pritsker, I. E, Ruscheweyh, S

“…Math. Scand. 104 (2009), 147-160 We study inequalities connecting the product of uniform norms of polynomials with the norm of their product. This circle of…”
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Reverse Triangle Inequalities for Potentials by Pritsker, I. E, Saff, E. B

“…J. Approx. Theory 159 (2009), 109-127 We study the reverse triangle inequalities for suprema of logarithmic potentials on compact sets of the plane. This…”
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The multivariate integer Chebyshev problem by Borwein, P. B, Pritsker, I. E

“…Constr. Approx. 30 (2009), 299-310 The multivariate integer Chebyshev problem is to find polynomials with integer coefficients that minimize the supremum norm…”
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Expected number of real zeros for random linear combinations of orthogonal polynomials by Lubinsky, D. S, Pritsker, I. E, Xie, X

“…We study the expected number of real zeros for random linear combinations of orthogonal polynomials. It is well known that Kac polynomials, spanned by…”
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Small polynomials with integer coefficients by Pritsker, Igor E

“…We study the problem of minimizing the supremum norm, on a segment of the real line or on a compact set in the plane, by polynomials with integer coefficients…”
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Reverse Triangle Inequalities for Riesz Potentials and Connections with Polarization by Pritsker, I. E, Saff, E. B, Wise, W

“…We study reverse triangle inequalities for Riesz potentials and their connection with polarization. This work generalizes inequalities for sup norms of…”
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Monic integer Chebyshev problem by Borwein, P. B, Pinner, C. G, Pritsker, I. E

“…Math. Comp. 72 (2003), 1901-1916 We study the problem of minimizing the supremum norm by monic polynomials with integer coefficients. Let ${\M}_n({\Z})$ denote…”
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Comparing Norms of Polynomials in One and Several Variables by Pritsker, Igor E.

“…We study Nikolskii-type inequalities for theLpnorms of an algebraic polynomial in one variable, defined either by a contour integral or by an area integral…”
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