The modulus of continuity and the best approximation over the dyadic group

DOI10.1007/BF00052098zbMath0774.41026MaRDI QIDQ1207394

Jun Tateoka

Publication date: 1 April 1993

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inverse theorems in approximation theory (41A27)

Related Items (2)

Absolute convergence of multiple series with respect to multiplicative systems ⋮ Estimates of best approximations in integral metrics and Fourier coefficients with respect to multiplicative systems

Cites Work

• Approximation in Hardy spaces
• Best approximation by Walsh polynomials
• Moduli of continuity of functions, defined on a zero-dimensional group
• Fourier Analysis on Local Fields. (MN-15)
• DIRECT AND CONVERSE THEOREMS OF JACKSON TYPE IN $ L^p$ SPACES, $ 0<p<1$

This page was built for publication: The modulus of continuity and the best approximation over the dyadic group