Approximation of functions of bounded \(p\)-fluctuation by polynomials with respect to multiplicative systems

DOI10.1007/BF01904026zbMath0815.42014MaRDI QIDQ1842731

Sergey S. Volosivets

Publication date: 21 June 1995

Published in: Analysis Mathematica (Search for Journal in Brave)

zbMATH Keywords

approximationpolynomialsmodulus of continuityconvergence of Fourier seriesmultiplicative systemsfunctions of bounded \(p\)-fluctuation

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (6)

Sidon-type inequalities and strong approximation by Fourier sums in multiplicative systems ⋮ On the order of approximation by Riesz means in multiplicative systems in the classes \(E_{X}[\varepsilon \)] ⋮ On the magnitude of Vilenkin-Fourier coefficients ⋮ Best approximation of functions by polynomials with respect to multiplicative systems and generalized monotonicity ⋮ Approximation of functions of bounded \(p\)-variation by polynomials in terms of the Faber-Schauder system ⋮ On the magnitude of Fourier coefficients with respect to the character system of \(\mathbb Z_p\)

Cites Work

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• The Brauer-Manin Obstruction and III[2]
• Certain Groups of Orthonormal Step Functions
• On a generalization of the concept of derivative
• Metric entropy and approximation
• Walsh-fourier series and the concept of a derivative^†

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