General orthonormal systems and certain problems of approximation theory

DOI10.1007/BF01157387zbMath0427.42009MaRDI QIDQ1136294

Boris S. Kashin

Publication date: 1979

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

zbMATH Keywords

Weyl multiplierdegree of approximationKolmogorov diameter

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General harmonic expansions, frames (42C15) Rate of convergence, degree of approximation (41A25) Other transformations of harmonic type (42C20)

Cites Work

• On Weyl's multipliers for almost everywhere convergence of orthogonal series
• The dimension of almost spherical sections of convex bodies
• On the mean value of certain functions connected with the convergence of orthogonal series
• On convergence and growth of partial sums of Fourier series
• Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse
• \(L^2\)-approximation by partial sums of orthogonal developments
• THE REPRESENTATION OF MEASURABLE FUNCTIONS BY SERIES
• DIAMETERS OF SETS IN NORMED LINEAR SPACES AND THE APPROXIMATION OF FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS
• Eine Bemerkung zum Konvergenzproblem der Orthogonalreihen
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