Convolution processes of Fejér type and the divergence almost everywhere of a pointwise comparison

DOI10.1007/BF01874221zbMath0798.41014MaRDI QIDQ1310435

R. J. Nessel, N. Kirchhoff

Publication date: 1993

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

quantitative resonance principlemultivariate convolution processes

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (4)

The sharpness of a pointwise error bound for the Fejér-Hermite interpolation process on sets of positive measure ⋮ Divergence almost everywhere of a pointwise comparison of two sequences of linear operators ⋮ Divergence almost everywhere of a pointwise comparison of trigonometric convolution processes with their discrete analogues ⋮ On the divergence of trigonometric lacunary interpolation

Cites Work

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• On limits of sequences of operators
• Quantitative extensions of the uniform boundedness principle
• The Divergence almost Everywhere of a Pointwise Comparison of Fejér and Abel-Poisson means
• Necessary Conditions for the Comparison of Sequences of Linear Functionals
• On multipliers preserving convergence of trigonometric series almost everywhere

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