Kolmogorov averages and approximate identities

DOI10.1007/S00365-008-9013-3zbMath1200.41008OpenAlexW2075788098MaRDI QIDQ836077

Konstantin M. Dyakonov

Publication date: 31 August 2009

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-008-9013-3

zbMATH Keywords

approximate identitiessmooth functionsKolmogorov nonlinear meansself-important estimates

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Cites Work

• Analytic functions smooth up to the boundary
• Equivalent norms on Lipschitz-type spaces of holomorphic functions
• Approximate identities and geometric means of smooth positive functions
• Holomorphic functions and quasiconformal mappings with smooth moduli
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