A comparison inequality for rational functions
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Publication:3003578
DOI10.1090/S0002-9939-2010-10624-XzbMath1243.26009OpenAlexW2079622637MaRDI QIDQ3003578
Publication date: 27 May 2011
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10624-x
Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities in the complex plane (30A10)
Related Items (21)
On Bernstein-Type Inequalities for Rational Functions with Prescribed Poles ⋮ Some inequalities for the rational functions with prescribed poles and restricted zeros ⋮ Refinement of some Bernstein type inequalities for rational functions ⋮ On Bernstein-Type Inequalities for the Polar Derivative of a Polynomial ⋮ Some Rational Inequalities Inspired by Rahman’s Research ⋮ Certain estimates of the derivative of a meromorphic function on boundary of the unit disk ⋮ Improvement of some inequalities for rational functions ⋮ Some inequalities for rational functions with fixed poles ⋮ Unnamed Item ⋮ Comparison inequalities between rational functions with prescribed poles ⋮ Unnamed Item ⋮ Bernstein-type inequalities for certain class of meromorphic functions ⋮ Some inequalities for maximum modulus of rational functions ⋮ Generalization of certain well-known inequalities for rational functions ⋮ Inequalities for complex rational functions ⋮ Inequalities for complex rational functions ⋮ Sharp inequalities for rational functions on a circle ⋮ Some inequalities for self-inversive rational functions with prescribed poles ⋮ RETRACTED: On the derivative of a rational polynomial with prescribed poles ⋮ Inequalities concerning rational functions in the complex domain ⋮ A note on rational functions with prescribed poles and restricted zeros
Cites Work
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- Inequalities concerning the derivative of polynomials
- Sharp extensions of Bernstein's inequality to rational spaces
- On the Derivative of a Polynomial
- Bernstein-Type Inequalities for Rational Functions with Prescribed Poles
- Critical Points of Rational Functions with Self-Inversive Polynomial Factors
- Proof of a conjecture of P. Erdös on the derivative of a polynomial
- Inequalities for the polar derivative of a polynomial
- Inequalities for the polar derivative of a polynomial
- Inequalities for the polar derivative of a polynomial
- Some \(L^p\) inequalities for the polar derivative of a polynomial
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