An Extremal Problem for the Geometric Mean of Polynomials

DOI10.2307/2039638zbMath0267.30001OpenAlexW4231083977MaRDI QIDQ5685341

Eliyahu Beller, Donald J. Newman

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/2039638

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (9)

Improved lower bound for the Mahler measure of the Fekete polynomials ⋮ Improved results on the oscillation of the modulus of the Rudin-Shapiro polynomials on the unit circle ⋮ The Mahler measure of the Rudin-Shapiro polynomials ⋮ ON THE OSCILLATION OF THE MODULUS OF THE RUDIN–SHAPIRO POLYNOMIALS ON THE UNIT CIRCLE ⋮ Sieve-type lower bounds for the Mahler measure of polynomials on subarcs ⋮ The asymptotic value of the Mahler measure of the Rudin-Shapiro polynomials ⋮ Recent Progress in the Study of Polynomials with Constrained Coefficients ⋮ Extremal Mahler measures and $L_s$ norms of polynomials related to Barker sequences ⋮ Sums of monomials with large Mahler measure

Cites Work

• On Polynomials ∑±nzm,∑eαminzm,z=e0i
• An L 1 Extremal Problem for Polynomials
• Polynomial Extremal Problems in L p
• Unnamed Item

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