Sharp Remez-type inequalities for differentiable periodic functions, polynomials, and splines
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Publication:1729429
DOI10.1007/S11253-016-1222-5zbMath1490.41007OpenAlexW2532540719MaRDI QIDQ1729429
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/s11253-016-1222-5
polynomial splinessharp Remez-type inequalitiesSobolev classes of differentiable periodic functionsspaces of trigonometric polynomials
Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)
Related Items (6)
Sharp Remez-type inequalities of various metrics in the classes of functions with given comparison function ⋮ 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 ⋮ Sharp Remez-type inequalities of different metrics for differentiable periodic functions, polynomials, and splines ⋮ 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
- 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
- Inequalities for upper bounds of functionals
- An extension of the Landau-Kolmogorov inequality. Solution of a problem of Erdős
- On an extremum problem concerning trigonometrical polynomials
- Polynomial inequalities on measurable sets and their applications
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