Bernstein inequalities in \({L_ p}\), \(0\leq p\leq+\infty\)

DOI10.1216/RMJ-1989-19-1-145zbMath0738.42003OpenAlexW2024379617MaRDI QIDQ1812858

George G. Lorentz, Manfred von Golitschek

Publication date: 25 June 1992

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1989-19-1-145

zbMATH Keywords

location of zerostrigonometric polynomialBernstein inequalities

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for trigonometric functions and polynomials (26D05) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (12)

On Bernstein inequalities for multivariate trigonometric polynomials in $L_p$, $0\leq p\leq\infty$ ⋮ Markov-Bernstein type inequalities for constrained polynomials with real versus complex coefficients ⋮ WEIERSTRASS' THEOREM IN THE TWENTIETH CENTURY: A SELECTION ⋮ Inequalities for Integral Norms of Polynomials via Multipliers ⋮ Sharp inequalities for trigonometric polynomials with respect to integral functionals ⋮ Inequalities for generalized nonnegative polynomials ⋮ Remez-type inequalities and their applications ⋮ Correction to: ``On Bernstein's inequality for polynomials ⋮ Spectral subspaces of $L^p$ for $p<1$ ⋮ Arestov's theorems on Bernstein's inequality ⋮ Szegö inequality for trigonometric polynomials in \(L_p , 0 \leq p \leq \infty ,\) with the classical value of the best constant ⋮ Linear space properties of $H^p$ spaces of Dirichlet series

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