Integral inequalities for algebraic polynomials on the unit circle

DOI10.1007/BF01139596zbMath0719.30005OpenAlexW2038922854MaRDI QIDQ2639981

Vitalii Arestov

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01139596

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities for trigonometric functions and polynomials (26D05) Polynomials and rational functions of one complex variable (30C10)

Related Items (7)

On Mahler's inequality for the sum of polynomials ⋮ Bernstein-Szegő inequality for the Weyl derivative of trigonometric polynomials in \(L_0\) ⋮ Inequalities for Integral Norms of Polynomials via Multipliers ⋮ Arestov's theorems on Bernstein's inequality ⋮ An areal analog of Mahler's measure ⋮ The Bernstein-Szegő inequality for fractional derivatives of 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

• An application of Jensen's formula to polynomials
• On the zeros of the derivative of a polynomial
• Some Inequalities for Polynomials
• ON INTEGRAL INEQUALITIES FOR TRIGONOMETRIC POLYNOMIALS AND THEIR DERIVATIVES
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