Inequalities for generalized nonnegative polynomials

DOI10.1007/BF01238273zbMath0754.41008MaRDI QIDQ1185202

Tamás Erdélyi, Paul G. Nevai, Attila Máté

Publication date: 28 June 1992

Published in: Constructive Approximation (Search for Journal in Brave)

zbMATH Keywords

Bernstein inequalityMarkov inequalityRemez-type inequalities

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items

Generalized Christoffel functions and error of positive quadrature ⋮ Polynomial approximation with doubling weights ⋮ A sharp Remez inequality for trigonometric polynomials ⋮ Sieve-type lower bounds for the Mahler measure of polynomials on subarcs ⋮ Lower bounds for derivatives of polynomials and Remez type inequalities ⋮ Remez-type inequalities and their applications ⋮ Weighted inequalities for generalized polynomials with doubling weights ⋮ Some weighted polynomial inequalities ⋮ Weighted moduli of smoothness of \(k\)-monotone functions and applications ⋮ George Lorentz and inequalities in approximation ⋮ Sums of monomials with large Mahler measure ⋮ Remez-type inequality on sets with cusps

Cites Work

• Bernstein's inequality in \(L^p\) for \(0<p<1\) and \((C,1)\) bounds for orthogonal polynomials
• Bernstein's inequality in \(L^p\) for \(O<p<1\)
• Bernstein inequalities in \({L_ p}\), \(0\leq p\leq+\infty\)
• A class of orthogonal polynomials
• Bernstein and Markov Type Inequalities for Generalized Non-Negative Polynomials
• The Coupling of a Dirac Field to a Kemmer Field
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