Markov type estimates for derivatives of polynomials of special type

DOI10.1007/BF01903349zbMath0659.42002OpenAlexW2073847717MaRDI QIDQ1112280

Tamás Erdélyi

Publication date: 1988

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01903349

zbMATH Keywords

algebraic polynomialsBernstein's inequalityderivatives of trigonometric polynomialsMarkov type estimates

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (7)

Markov and Bernstein type inequalities on subsets of \([-1,1\) and \([- \pi,\pi]\)] ⋮ Markov-Bernstein type inequalities for constrained polynomials with real versus complex coefficients ⋮ Basic polynomial inequalities on intervals and circular arcs ⋮ Monotone trigonometric approximation ⋮ Estimates for the Lorentz degree of polynomials ⋮ A Markov-type inequality for the derivatives of constrained polynomials ⋮ Bernstein type inequalities for a class of polynomials

Cites Work

• Pointwise estimates for the derivatives of a polynomial with real zeros
• On polynomials with positive coefficients
• Markov's Inequality for Polynomials with Real Zeros
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