Sharp Remez-type inequalities of various metrics with asymmetric restrictions imposed on the functions

DOI10.1007/s11253-020-01844-4zbMath1454.42002OpenAlexW3108975134MaRDI QIDQ2214150

I. V. Popovich, V. A. Kofanov

Publication date: 6 December 2020

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

Full work available at URL: https://doi.org/10.1007/s11253-020-01844-4

zbMATH Keywords

polynomial splinestrigonometric polynomialsSobolev sets of periodic functions

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Inequalities involving other types of functions (26D07)

Related Items (2)

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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Sharp Remez-type inequalities for differentiable periodic functions, polynomials, and splines
• Sharp Remez-type inequalities of different metrics for differentiable periodic functions, polynomials, and splines
• An extension of the Landau-Kolmogorov inequality. Solution of a problem of Erdős
• Sharp Remez-type inequalities of various metrics in the classes of functions with given comparison function
• Polynomial inequalities on measurable sets and their applications

This page was built for publication: Sharp Remez-type inequalities of various metrics with asymmetric restrictions imposed on the functions