On the Bernstein inequality for rational functions with a prescribed zero

DOI10.1006/jath.1997.3230zbMath0919.30007OpenAlexW2000378629MaRDI QIDQ1275437

Roy Jones, R. S. Rodriguez, Ram N. Mohapatra, Xin Li

Publication date: 16 August 1999

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1997.3230

zbMATH Keywords

Bernstein inequalityrational functions

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)

Related Items (5)

Integral formulas and inequalities for rational functions ⋮ Sublinear dimension growth in the Kreiss Matrix Theorem ⋮ Some Rational Inequalities Inspired by Rahman’s Research ⋮ A model space approach to some classical inequalities for rational functions ⋮ Some estimates for the derivatives of rational functions

Cites Work

• Polynomials with a Prescribed Zero and the Bernstein's Inequality
• Sharp extensions of Bernstein's inequality to rational spaces
• An Extremal Problem for Polynomials with a Prescribed Zero
• Inequalities for Polynomials with a Prescribed Zero
• Bernstein-Type Inequalities for Rational Functions with Prescribed Poles
• Proof of a conjecture of P. Erdös on the derivative of a polynomial
• On polynomials with a prescribed zero
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