On the sharp inequalities for orthonormal polynomials along a contour

DOI10.1007/S11785-017-0640-1zbMath1378.30001OpenAlexW2578095357MaRDI QIDQ1683601

Peng Zhang

Publication date: 1 December 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-017-0640-1

zbMATH Keywords

conformal mappingalgebraic polynomialsquasicircle

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 (2)

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

Cites Work

• On Nikol'skii-type inequalities with new characteristics
• Weighted polynomial inequalities in the complex plane
• Comparing norms of polynomials in one and several variables
• Interference of the weight and boundary contour for algebraic polynomials in weighted Lebesgue spaces. I
• On the behavior of algebraic polynomial in unbounded regions with piecewise Dini-smooth boundary
• ON THE GROWTH OF ALGEBRAIC POLYNOMIALS IN THE WHOLE COMPLEX PLANE
• On Differentiability at the Boundary in Conformal Mapping
• Certain problems of closest approximation
• On the behavior of algebraic polynomials in regions with piecewise smooth boundary without cusps
• FUNDAMENTAL PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A CONTOUR
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the sharp inequalities for orthonormal polynomials along a contour