Inequalities of Bernstein and Jackson-Nikol'skii type and estimates of the norms of derivatives of Dirichlet kernels

DOI10.1007/S11006-006-0112-9zbMath1116.41019OpenAlexW2044558262MaRDI QIDQ881061

M. B. Sikhov

Publication date: 21 May 2007

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

Full work available at URL: https://doi.org/10.1007/s11006-006-0112-9

zbMATH Keywords

Dirichlet kerneltrigonometric polynomialhyperbolic crossBernstein type inequalityJackson-Nikolskii type inequalityspectrum of polynomial

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the influence of the geometric properties of the spectrum of a polynomial on the Nikol'skij inequalities of different metrics
• Inequalities of Bernstein and Jackson-Nikol'skii type and their applications
• Approximation of multidimensional functions with a given majorant of mixed moduli of continuity
• Certain problems of closest approximation

This page was built for publication: Inequalities of Bernstein and Jackson-Nikol'skii type and estimates of the norms of derivatives of Dirichlet kernels