Asymptotics properties of a compact set of smooth functions in the space of functions of bounded \(p\)-variation

DOI10.1007/BF02309147zbMath0846.41024MaRDI QIDQ1907402

Sergey S. Volosivets

Publication date: 10 September 1996

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

zbMATH Keywords

\(\varepsilon\)-entropyKolmogorov widthsfractional continuity modulus

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Banach spaces of continuous, differentiable or analytic functions (46E15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (5)

Asymptotic estimates of \(p\)-variational and \(L^p\)-modules of continuity of functions of certain classes ⋮ Functions of bounded \(k\)th \(p\)-variation and continuity modulus ⋮ Functions of bounded second \(p\)-variation ⋮ Refined theorems of approximation theory in the space of \(p\)-absolutely continuous functions ⋮ On the magnitude of Vilenkin-Fourier coefficients

Cites Work

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• An inequality of the Hölder type, connected with Stieltjes integration
• Metric entropy and approximation

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