On the constants in abstract inverse theorems of approximation theory

DOI10.1090/spmj/1770zbMath1529.41016OpenAlexW4385319263WikidataQ122538912 ScholiaQ122538912MaRDI QIDQ6113130

O. L. Vinogradov

Publication date: 8 August 2023

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1770

zbMATH Keywords

sharp constantsinverse theoremsvector integration

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inverse theorems in approximation theory (41A27)

Cites Work

• Estimates of functionals by generalized moduli of continuity generated by the Dunkl operators
• Estimates of functionals by deviations of Steklov type averages generated by Dunkl type operators
• On the strong form of asymptotic formulas of the Voronovskaya-Bernstein type with a pointwise estimate of the remainder term
• Real analysis: measures, integrals and applications
• On sharp constants in Bernstein-Nikolskii inequalities
• The Bernstein-Szegő inequality for fractional derivatives of trigonometric polynomials
• Positive \(L^p\)-bounded Dunkl-type generalized translation operator and its applications
• On the constants in inverse theorems for the first-order derivative
• On the constants in the inverse theorems for the norms of derivatives
• On riesz-type inequalities and k-functionals related to riesz potentials in
• The approximation of periodic functions by Fejér sums
• Bessel harmonic analysis and approximation of functions on the half-line
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