Simple Proofs of Bernstein-Type Inequalities

DOI10.2307/2047237zbMath0666.41010OpenAlexW4241480918MaRDI QIDQ3817089

R. S. Rodriguez, Ram N. Mohapatra, Patrick J. O'Hara

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047237

zbMATH Keywords

Lagrange interpolationBernstein-type inequalities

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Polynomials and rational functions of one complex variable (30C10)

Related Items (6)

Applications of the Schwarz lemma to inequalities for rational functions with prescribed poles ⋮ Bernstein type inequalities for rational functions ⋮ Some Rational Inequalities Inspired by Rahman’s Research ⋮ Certain estimates of the derivative of a meromorphic function on boundary of the unit disk ⋮ Some applications of Dubinin's lemma to rational functions with prescribed poles ⋮ Bernstien type inequalities for polynomials with restricted zeros

Cites Work

• Unnamed Item
• Another Proof of Bernstein's Theorem
• An Integral Mean Estimate for Polynomials
• New Inequalities for Polynomials
• Coefficient and Integral Mean Estimates for Algebraic and Trigonometric Polynomials with Restricted Zeros
• On the Derivative of a Polynomial
• On the Derivative of a Polynomial
• Functions of Exponential Type Not Vanishing in a Half-Plane and Related Polynomials
• Some Properties of Self-Inversive Polynomials
• Inequalities of A. Markoff and S. Bernstein for polynomials and related functions
• Extremum Problems for Polynomials and Trigonometrical Polynomials

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