Coefficient and Integral Mean Estimates for Algebraic and Trigonometric Polynomials with Restricted Zeros

DOI10.1112/jlms/s2-9.1.16zbMath0316.30004OpenAlexW1968092188MaRDI QIDQ4075720

T. Sheil-Small, Edward B. Saff

Publication date: 1974

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-9.1.16

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (16)

Markoff type inequalities for curved majorants in the weighted \(L^ 2\) norm ⋮ Inequalities for the Derivative of a Polynomial ⋮ An Integral Mean Estimate for Polynomials ⋮ Norm Estimates Relating Polynomials and their Derivatives ⋮ Nikol'skii inequality between the uniform norm and \(L_q\)-norm with Jacobi weight of algebraic polynomials on an interval ⋮ On the growth of polynomials ⋮ Integral inequalities for algebraic and trigonometric polynomials ⋮ Nikol'skii inequality between the uniform norm and \(L_q\)-norm with ultraspherical weight of algebraic polynomials on an interval ⋮ Inequalities for the polar derivative of a polynomial ⋮ Inequalities for entire functions of exponential type satisfying \(f(z)\equiv e^{i\gamma} e^{i\tau z} \overline{f(\overline{z})}\) ⋮ Sharp integral inequalities for fractional derivatives of trigonometric polynomials ⋮ On Bernstein's inequality for entire functions of exponential type ⋮ In memoriam Paul Erdős (1913-1996) ⋮ Some inequalities for self-inversive rational functions with prescribed poles ⋮ Simple Proofs of Bernstein-Type Inequalities ⋮ On lower bounds for Erdős-Szekeres products

This page was built for publication: Coefficient and Integral Mean Estimates for Algebraic and Trigonometric Polynomials with Restricted Zeros