Weighted polynomial inequalities in the complex plane

DOI10.1016/j.jat.2012.05.012zbMath1253.30013OpenAlexW2090539272MaRDI QIDQ714880

Vladimir V. Andrievskii

Publication date: 11 October 2012

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2012.05.012

zbMATH Keywords

Bernstein inequalitypolynomialNikolskii inequalityquasismooth arcRemez inequalityMarcinkiewicz inequality

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10)

Related Items (21)

Bernstein-Walsh-type inequalities for derivatives of algebraic polynomials on the regions of complex plane ⋮ Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks ⋮ Uniform and pointwise estimates for algebraic polynomials in regions with interior and exterior zero angles ⋮ On the sharp inequalities for orthonormal polynomials along a contour ⋮ Polynomial inequalities in regions with zero interior angles in the Bergman space ⋮ Inequalities of the Markov-Nikol'skii type in regions with zero interior angles in the Bergman space ⋮ ON THE GROWTH OF m-TH DERIVATIVES OF ALGEBRAIC POLYNOMIALS IN REGIONS WITH CORNERS IN A WEIGHTED BERGMAN SPACE ⋮ Interference of the weight and boundary contour for algebraic polynomials in weighted Lebesgue spaces. I ⋮ Polynomial inequalities in quasidisks on weighted Bergman spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The uniform and pointwise estimates for polynomials on the weighted Lebesgue spaces in the general regions of complex plane ⋮ On some properties of the orthogonal polynomials over a contour with general Jacobi weight ⋮ Christoffel functions for doubling measures on quasismooth curves and arcs ⋮ Weighted Remez- and Nikolskii-type inequalities on a quasismooth curve ⋮ Bernstein-Nikol'skii-type inequalities for algebraic polynomials from the Bergman space in domains of the complex plane ⋮ Zeros of real random polynomials spanned by OPUC ⋮ On the interference of the weight and boundary contour for algebraic polynomials in weighted Lebesgue spaces. II ⋮ Polynomial inequalities in regions with corners in theweighted Lebesgue spaces ⋮ On the growth of derivatives of algebraic polynomials in a weighted Lebesgue space ⋮ Uniform and pointwise polynomial inequalities in regions with asymptotically conformal curve on weighted Bergman space

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