Polynomial inequalities and Markov's inequality in weightedL p -spaces

DOI10.1007/BF01902568zbMath0415.42002OpenAlexW1981193065MaRDI QIDQ3050906

Pierre Goetgheluck

Publication date: 1979

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01902568

zbMATH Keywords

Markov's inequalityweighted Lp-normsdegrees of approximationnorms of polynomialsupper bounds for orthonormal polynomials

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (7)

On strong summability of polynomial expansions ⋮ Weighted \(L_p\) Markov factors with doubling weights on the ball ⋮ Polynomial inequalities in L^p norms with generalized Jacobi weights ⋮ Généralisation de l'inégalité de Markov ⋮ Une inégalité polynômiale en plusieurs variables ⋮ Polynomial inequalities on measurable sets and their applications. II: Weighted measures ⋮ Un résultat de division obtenu par les méthodes de l'approximation

Cites Work

• Interpolation in polynomial classes and Markoff's inequality
• Majorations pour les polynômes dans certains espaces de Banach. Application à l'approximation
• On some generalizations of a theorem of A. Markoff
• Unnamed Item

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