Lower bounds for the modulus of the logarithmic derivative of a polynomial

DOI10.1007/BF01786958zbMath0413.30004OpenAlexW1975638559MaRDI QIDQ1260483

N. V. Govorov, Yu. P. Lapenko

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1007/bf01786958

zbMATH Keywords

logarithmic derivativezeroes of polynomials

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)

Related Items (8)

Distribution of the logarithmic derivative of a rational function on the line ⋮ On the reverse Dzyadyk inequality for polynomials with zeros on a closed interval ⋮ A Newman type bound for \(L_p[-1,1\)-means of the logarithmic derivative of polynomials having all zeros on the unit Circle] ⋮ Extremal and approximative properties of simple partial fractions ⋮ A lower bound for the L_2[-1,1-norm of the logarithmic derivative of polynomials with zeros on the unit circle] ⋮ Turán-type reverse Markov inequalities for polynomials with restricted zeros ⋮ The Turán-type inequality in the space \(L_0\) on the unit interval ⋮ Metric property of a real polynomial

Cites Work

• The Distribution of the Logarithmic Derivative of a Polynomial
• Inequalities for the Logarithmic Derivatives of a Polynomial

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