Basic polynomial inequalities on intervals and circular arcs
DOI10.1007/s00365-013-9208-0zbMath1318.41009OpenAlexW2062739675MaRDI QIDQ485309
Publication date: 9 January 2015
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00365-013-9208-0
Bernstein and Lax type inequalities for complex algebraic polynomials on subarcs of the unit circlethe right Bernstein-Szegő and Riesz-Schur type inequalities for trigonometric polynomialsVidenskii's Markov and Bernstein type inequalities for trigonometric polynomials
Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)
Cites Work
- \(L_{p}\) Markov-Bernstein inequalities on all arcs of the circle
- Bernstein type inequalities for a class of polynomials
- Sharpening of Hilbert's lemniscate theorem
- Markov type estimates for derivatives of polynomials of special type
- Markov-Bernstein-type inequality for trigonometric polynomials with respect to doubling weights on \([-\omega,\omega\)]
- Bernstein-type inequalities
- Bernstein's inequality for algebraic polynomials on circular arcs
- Bernstein-Type Inequalities for Rational Functions with Prescribed Poles
- Extremal Properties of Polynomials
- On the Derivative of a Polynomial
- Proof of a conjecture of P. Erdös on the derivative of a polynomial
- \(L_p\) Markov-Bernstein inequalities on arcs of the circle
- Polynomial inverse images and polynomial inequalities
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