Polynomial inequalities in L^p norms with generalized Jacobi weights

DOI10.7153/mia-2019-22-20zbMath1423.41012OpenAlexW2913409552MaRDI QIDQ5223484

Grzegorz Sroka, Leokadia Białas-Cież

Publication date: 18 July 2019

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2019-22-20

zbMATH Keywords

Schur inequalityJacobi weightNikolskii inequalityChebyshev weightGegenbauer weight

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (1)

Constants in Markov's and Bernstein inequality on a finite interval in \(\mathbb{R}\)

Cites Work

• On polynomials with positive coefficients
• Equivalence of Markov's and Schur's inequalities on compact subsets of the complex plane
• Two polynomial division inequalities in \(L^p\)
• On the problem of sharp exponents in multivariate Nikolskii-type inequalities
• On the Markov inequality in \(L^ p\)-spaces
• Weighted polynomial inequalities with doubling and \(A_\infty\) weights
• Sharp Markov-Nikol'skii inequality with respect to the uniform norm and the integral norm with Chebyshev weight
• Polynomial inequalities and Markov's inequality in weightedL p -spaces
• Notions of convexity
• Some weighted polynomial inequalities
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