Sharp Remez-type inequalities of different metrics for differentiable periodic functions, polynomials, and splines

DOI10.1007/s11253-017-1357-zzbMath1499.41018OpenAlexW2751714038MaRDI QIDQ1729582

V. A. Kofanov

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-017-1357-z

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (4)

Sharp Kolmogorov-Remez-type inequalities for periodic functions of low smoothness ⋮ Sharp Remez-type inequalities of various metrics with asymmetric restrictions imposed on the functions ⋮ On the relationship between sharp Kolmogorov-type inequalities and sharp Kolmogorov-Remez-type inequalities ⋮ Sharp Remez-type inequalities estimating the \(L_q\)-norm of a function via its \(L_p\)-norm

Cites Work

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• Inequalities of different metrics for differentiable periodic functions
• A sharp Remez inequality for trigonometric polynomials
• Sharp upper bounds of norms of functions and their derivatives on classes of functions with given comparison function
• On a Remez-type inequality for trigonometric polynomials
• Variations on the Chebyshev and \(L^ q\) theories of best approximation
• Sharp Remez-type inequalities for differentiable periodic functions, polynomials, and splines
• An extension of the Landau-Kolmogorov inequality. Solution of a problem of Erdős
• Polynomial inequalities on measurable sets and their applications

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