A baire approach to quantitative resonance principles

DOI10.1080/01630568708816229zbMath0583.65029OpenAlexW2128399265MaRDI QIDQ3706419

Erich van Wickeren

Publication date: 1987

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568708816229

zbMATH Keywords

Fréchet spacesresonance principledominated convergencegliding hump methodcondensation principlesBaire category argumentstrigonometric Fourier partial sums

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Numerical methods for trigonometric approximation and interpolation (65T40) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (8)

On the comparison of error bounds for finite difference schemes ⋮ Comparison of Bernstein polynomials with the metrical means of Kantorovitch ⋮ Massiveness of the sets of extremal functions in some problems in approximation theory ⋮ Characterizations of ultrabarrelledness and barrelledness involving the singularities of families of convex mappings ⋮ Sequential convergence and approximation in the space of Riemann integrable functions ⋮ A constructive method related to generalizations of the uniform boundedness principle and its applications ⋮ Sharp estimates in terms of moduli of smoothness for compound cubature rules ⋮ On the fixing of values of sequences of seminorms

Cites Work

• A general approach to counterexamples in numerical analysis
• On nonlinear condensation principles with rates
• Condensation of singularities and divergence results in approximation theory
• Zur Grössenordnung des Restgliedes Fourierscher Reihen differenzierbarer Funktionen
• \(FK\)-Räume in der Funktionentheorie. I
• On the Sharpness of Estimates in Terms of Averages
• On uniform boundedness principles and banach - steinhaus theorems with rates
• On certain linear operators. VIII
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