Polynomial inequalities on measurable sets and their applications. II: Weighted measures

DOI10.1006/jath.2000.3484zbMath1030.41009OpenAlexW2107047944MaRDI QIDQ1587647

Michael I. Ganzburg

Publication date: 18 February 2004

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2000.3484

zbMATH Keywords

Nikolskij-type inequalities

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for sums, series and integrals (26D15)

Related Items (6)

Diophantine properties of nilpotent Lie groups ⋮ Multivariate polynomial inequalities of different \(L_{p,W}(V)\)-metrics with \(k\)-concave weights ⋮ Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets ⋮ Invertibility of random matrices: Unitary and orthogonal perturbations ⋮ Note on an inequality of Vicente Gonçalves ⋮ Bernstein type inequalities for quasipolynomials

Cites Work

• Une inégalité polynômiale en plusieurs variables
• Estimating solutions of elliptic equations with analytic coefficients bounded on some set
• Generalized Jacobi weights, Christoffel functions, and zeros of orthogonal polynomials
• Differentiation of integrals in \(\mathbb{R}^n\)
• On the problem of sharp exponents in multivariate Nikolskii-type inequalities
• Some extremal problems for multivariate polynomials on convex bodies
• A class of orthogonal polynomials
• Polynomial inequalities and Markov's inequality in weightedL p -spaces
• Polynomial inequalities on general subsets of $R^N$
• Remez-Type Inequalities on the Size of Generalized Polynomials
• Markov–Bernstein and Nikolskiui Inequalities, and Christoffel Functions for Exponential Weights on $( - 1,1)$
• On Peano derivatives in $L^{p}(E_{n})$
• Equivalent Norms for Sobolev Spaces
• Perfect Blankets
• Polynomial inequalities on measurable sets and their applications
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