Some inequalities for the polar derivative of a polynomial

DOI10.1007/BF02867257zbMath0898.41009OpenAlexW2093979627MaRDI QIDQ5906905

Wali Mohammad Shah, Abdul Aziz

Publication date: 13 October 1998

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02867257

zbMATH Keywords

Bernstein's inequalitygrowth of maximum moduluspolar derivative of polynomial

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Polynomials and rational functions of one complex variable (30C10) Trigonometric polynomials, inequalities, extremal problems (42A05) Research exposition (monographs, survey articles) pertaining to approximations and expansions (41-02)

Related Items (5)

On Bernstein-Type Inequalities for the Polar Derivative of a Polynomial ⋮ Generalizations of some differential inequalities for polynomials ⋮ Inequalities for the polar derivative of a polynomial ⋮ On an operator preserving inequalities between polynomials ⋮ Generalizations of some polynomial inequalities for the family of B-operators

Cites Work

• Comment on the representation of splines as Boolean sums
• A new proof of Laguerre's theorem about the zeros of polynomials
• Simple Proof of a Theorem of Erdos and Lax
• 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 the polar derivative of a polynomial

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