Markov-Nikolskii type inequalities for exponential sums on finite intervals

DOI10.1016/j.aim.2006.02.003zbMath1113.41018OpenAlexW2035933445MaRDI QIDQ854098

Tamás Erdélyi

Publication date: 7 December 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2006.02.003

zbMATH Keywords

exponential sumsNikolskii-type inequalities

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (8)

Markov-Type Inequalities for Products of Müntz Polynomials Revisited ⋮ \(L^{1}\)-approximation and finding solutions with small support ⋮ On general Bernstein and Nikol'skiî type inequalities ⋮ Remez-type and Nikol'skii-type inequalities: general relations and the hyperbolic cross polynomials ⋮ George Lorentz and inequalities in approximation ⋮ On discretizing integral norms of exponential sums ⋮ Nikolskii-type inequalities for shift invariant function spaces ⋮ Remez-type inequality on sets with cusps

Cites Work

• Unnamed Item
• Derivative bounds for Müntz polynomials
• Markov- and Bernstein-type inequalities for Müntz polynomials and exponential sums in \(L_p\)
• An Improvement Theorem for Descartes Systems
• Extremal properties of the derivatives of the Newman polynomials
• The full Markov-Newman inequality for Müntz polynomials on positive intervals
• The 𝐿_{𝑝} version of Newman’s Inequality for lacunary polynomials

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