Arestov's theorems on Bernstein's inequality

DOI10.1016/j.jat.2019.105323zbMath1439.41007arXiv1904.11887OpenAlexW2987436093WikidataQ126845967 ScholiaQ126845967MaRDI QIDQ2286224

Tamás Erdélyi

Publication date: 10 January 2020

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

Full work available at URL: https://arxiv.org/abs/1904.11887

zbMATH Keywords

Arestov's theoremBernstein's inequality in \(L_p\) for all \(p \geq 0\)

Mathematics Subject Classification ID

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

Related Items (3)

𝐿^{𝑝}-Bernstein inequalities on 𝐶²-domains and applications to discretization ⋮ ON ONE INEQUALITY OF DIFFERENT METRICS FOR TRIGONOMETRIC POLYNOMIALS ⋮ Szegö inequality for trigonometric polynomials in \(L_p , 0 \leq p \leq \infty ,\) with the classical value of the best constant

Cites Work

• Bernstein inequalities in \({L_ p}\), \(0\leq p\leq+\infty\)
• On Bernstein's inequality for polynomials
• The Bernstein inequality and the Schur inequality are equivalent
• The Markov brothers inequality in \(L_0\)-space on an interval
• Integral inequalities for algebraic polynomials on the unit circle
• On the zeros of the derivative of a polynomial
• ON INTEGRAL INEQUALITIES FOR TRIGONOMETRIC POLYNOMIALS AND THEIR DERIVATIVES
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