Polynomials least deviating from zero in \(L^p(-1;1)\), \(0 \le p \le \infty \), with a constraint on the location of their roots

DOI10.15826/UMJ.2023.2.013zbMATH Open1543.41002MaRDI QIDQ6573638

Alena E. Rokina

Publication date: 17 July 2024

Published in: Ural mathematical journal (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Inequalities for trigonometric functions and polynomials (26D05) Polynomials and rational functions of one complex variable (30C10)

Cites Work

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• L p inequalities for polynomials
• Integral inequalities for algebraic polynomials with a restriction on their zeros
• Markov-type inequalities for constrained polynomials with complex coefficients
• Markov-type inequalities for polynomials with restricted zeros
• Turán-Erőd type converse Markov inequalities on general convex domains of the plane in the boundary \(L^q\) norm
• The Markov brothers inequality in \(L_0\)-space on an interval
• Über die Ableitung von Polynomen.
• Turan's inequality in \(H_ 2\) for algebraic polynomials with restrictions to their zeros.
• Turán type oscillation inequalities in $L^q$ norm on the boundary of convex domains
• On the Derivative of a Polynomial
• Proof of a conjecture of P. Erdös on the derivative of a polynomial

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