On the reverse Dzyadyk inequality for polynomials with zeros on a closed interval

DOI10.1134/S0001434622110384MaRDI QIDQ2680757

Yanyan Li

Publication date: 4 January 2023

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

polynomialTurán's inequalityDzyadyk's inequality

Mathematics Subject Classification ID

Harmonic analysis in one variable (42Axx) Approximations and expansions (41Axx) Geometric function theory (30Cxx)

Cites Work

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• Inequalities for the derivatives of polynomials with real zeros
• The size of \(\{x: r'_ n | r_ n\geq 1\}\) and lower bounds for \(\| e^{-x} - r_ n\|\)
• Lower bounds for the modulus of the logarithmic derivative of a polynomial
• Exact constant in Dzyadyk's inequality for the derivative of an algebraic polynomial
• An exact inequality for the derivative of a trigonometric polynomial having only real zeros
• Some remarks on Turán's inequality. III: The completion
• The Turán-type inequality in the space \(L_0\) on the unit interval
• Reverse Markov inequality on the unit interval for polynomials whose zeros lie in the upper unit half-disk

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