Inequalities for weighted polynomials

DOI10.1016/0021-9045(83)90058-8zbMath0508.41012OpenAlexW1974588792MaRDI QIDQ1837859

Richard A. Zalik

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90058-8

zbMATH Keywords

convex functionsStirling's formulaMarkov's inequalityRiesz-Thorin interpolation theoremFreud's weight function

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

Weighted polynomial approximation, Géza Freud, orthogonal polynomials and Christoffel functions. A case study, Root system of singular perturbations of the harmonic oscillator type operators, Extremal polynomials for weighted Markov inequalities, Sharp Nikolskij inequalities with exponential weights, A Weighted Polynomial Inequality, Some weighted polynomial inequalities, Estimates of Christoffel functions of generalized Freud-type weights, A weighted \(L^ 2\) Markoff type inequality for classical weights, Estimates of Freud-Christoffel functions for some weights with the whole real line as support

Cites Work

• On direct and converse theorems in the theory of weighted polynomial approximation
• On the Maximum Absolute Value of the Derivative of e -x2 P n (x)
• On two polynomial inequalities. I
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