On constants in the Bernstein-Szegő inequality for the Weyl derivative of order less than unity of trigonometric polynomials and entire functions of exponential type in the uniform norm

DOI10.1134/s0081543823060123OpenAlexW4391761127MaRDI QIDQ6194912

A. O. Leont'eva

Publication date: 16 February 2024

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543823060123

zbMATH Keywords

Bernstein inequalitytrigonometric polynomialsentire functions of exponential typeuniform normRiesz derivativeWeyl-Szegő operator

Mathematics Subject Classification ID

Real functions (26-XX) Harmonic analysis on Euclidean spaces (42-XX)

Cites Work

• Bounds of the Nikol'skii polynomial constants in \(L^p\) with Gegenbauer weight
• Bernstein-Szegő inequality for the Weyl derivative of trigonometric polynomials in \(L_0\)
• On sharp constants in Bernstein-Nikolskii inequalities
• The Bernstein-Szegő inequality for fractional derivatives of trigonometric polynomials
• Inequalities for trigonometric integrals
• Sharp constants of approximation theory. IV: Asymptotic relations in general settings
• On riesz-type inequalities and k-functionals related to riesz potentials in
• Sharp Bernstein-Nikolskii inequalities for polynomials and entire functions of exponential type
• ON ONE INEQUALITY OF DIFFERENT METRICS FOR TRIGONOMETRIC POLYNOMIALS
• ON INTEGRAL INEQUALITIES FOR TRIGONOMETRIC POLYNOMIALS AND THEIR DERIVATIVES
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On constants in the Bernstein-Szegő inequality for the Weyl derivative of order less than unity of trigonometric polynomials and entire functions of exponential type in the uniform norm