On summation processes of Fourier expansions in Banach spaces. III: Jackson- and Zamansky-type inequalities for Abel-bounded expansions

DOI10.2748/tmj/1178240988zbMath0324.42004OpenAlexW2167764311MaRDI QIDQ1224738

Walter Trebels, R. J. Nessel, Paul L. Butzer

Publication date: 1975

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178240988

Mathematics Subject Classification ID

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) General harmonic expansions, frames (42C15) Multipliers in one variable harmonic analysis (42A45)

Related Items

An equivalence theorem concerning multipliers of strong convergence ⋮ Some saturation theorems for classical orthogonal expansions. II ⋮ Exact estimates of the rate of approximation of convolution operators

Cites Work

• Multipliers with respect to spectral measures in Banach spaces and approximation. I: Radial multipliers in connection with Riesz-bounded spectral measures
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