Szegö inequality for trigonometric polynomials in \(L_p , 0 \leq p \leq \infty ,\) with the classical value of the best constant

DOI10.1016/J.JAT.2022.105713zbMath1502.41004OpenAlexW4210500288MaRDI QIDQ2077258

A. O. Leont'eva

Publication date: 24 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.jat.2022.105713

zbMATH Keywords

trigonometric polynomialsWeyl derivativeBernstein-Szegö inequalitythe space \(L_0\)

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (1)

ON ONE INEQUALITY OF DIFFERENT METRICS FOR TRIGONOMETRIC POLYNOMIALS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integral inequalities for algebraic and trigonometric polynomials
• Sharp inequalities for trigonometric polynomials with respect to integral functionals
• Necessary conditions for metrics in integral Bernstein-type inequalities
• Sharp integral inequalities for fractional derivatives of trigonometric polynomials
• Bernstein inequalities in \({L_ p}\), \(0\leq p\leq+\infty\)
• The Szegö inequality for derivatives of a conjugate trigonometric polynomial in \(L_ 0\)
• Bernstein's inequality for the Weyl derivatives of trigonometric polynomials in the space \(L_0\)
• Arestov's theorems on Bernstein's inequality
• The Bernstein-Szegő inequality for fractional derivatives of trigonometric polynomials
• Integral inequalities for algebraic polynomials on the unit circle
• ON INTEGRAL INEQUALITIES FOR TRIGONOMETRIC POLYNOMIALS AND THEIR DERIVATIVES

This page was built for publication: Szegö inequality for trigonometric polynomials in \(L_p , 0 \leq p \leq \infty ,\) with the classical value of the best constant