Equivalence of a 𝐾-functional with the approximation behavior of some linear means for abstract Fourier series

DOI10.1090/S0002-9939-99-05265-XzbMath0962.41018MaRDI QIDQ4257609

Walter Trebels

Publication date: 31 August 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

orthogonal expansions\(K\)-functionalsaturationlinear approximation processes

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Abstract interpolation of topological vector spaces (46M35) Applications of functional analysis in numerical analysis (46N40)

Related Items (5)

Generalized Jacobi-Weierstrass operators and Jacobi expansions ⋮ Orthogonal projections and uniformly bounded families of multipliers ⋮ \(q\)-moduli of continuity in \(H^{p}(\mathbb D)\), \(p>0\) and an inequality of Hardy and Littlewood ⋮ Exact estimates of the rate of approximation of convolution operators ⋮ On Ulyanov inequalities in Banach spaces and semigroups of linear operators

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