A refinement of an inequality of S. Bernstein

DOI10.1016/0022-247X(89)90370-3zbMath0691.30007MaRDI QIDQ582407

Abdul Aziz

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Bernstein inequality

Mathematics Subject Classification ID

Polynomials and rational functions of one complex variable (30C10)

Related Items (17)

Applications of the Schwarz lemma to inequalities for rational functions with prescribed poles ⋮ Uniform norm estimates of Bernstein-type for lacunary-type complex polyomials ⋮ INEQUALITIES FOR A CLASS OF MEROMORPHIC FUNCTIONS WHOSE ZEROS ARE WITHIN OR OUTSIDE A GIVEN DISK ⋮ Refinements of some polynomial inequalities with restricted zeros ⋮ Extension of some Bernstein-type inequalities to the polar derivative of a polynomial ⋮ GENERALIZATIONS OF CERTAIN WELL-KNOWN INEQUALITIES FOR RATIONAL FUNCTIONS ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some applications of Dubinin's lemma to rational functions with prescribed poles ⋮ Unnamed Item ⋮ Generalizations of some Bernstein-type inequalities for the polar derivative of a polynomial ⋮ Some sharp upper bound estimates for the maximal modulus of polar derivative of a polynomial ⋮ Inequalities concerning rational functions with prescribed poles ⋮ On Bernstein-type inequalities for polynomials involving the polar derivative

Cites Work

• New Inequalities for Polynomials
• Simple Proof of a Theorem of Erdos and Lax
• Inequalities for Polynomials with a Prescribed Zero
• Inequalities of A. Markoff and S. Bernstein for polynomials and related functions
• Proof of a conjecture of P. Erdös on the derivative of a polynomial
• Inequalities for polynomials with a prescribed zero

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