Degree of \(L_ p-\)approximation by certain positive convolution operators

DOI10.1016/0021-9045(78)90087-4zbMath0456.41018OpenAlexW2110103764MaRDI QIDQ1150831

Bruce Wood

Publication date: 1978

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(78)90087-4

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items (7)

On Korovkin Type Theorem in the Space of Locally Integrable Functions ⋮ A note on the degree of approximation with an optimal, discrete polynomial ⋮ Properties of Korovkin type in \(L^ p(a,b)\) ⋮ A smoothed projection method for singular, nonlinear Volterra equations ⋮ Saturation and inverse theorems for certain operators in C or \(L_ p\), \(1\leq p<\infty\) ⋮ Local L//p-saturation of positive linear convolution operators ⋮ Quantitative estimates for \(L_ p\) approximation with positive linear operators

Cites Work

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• Die Gute der \(L_p\)-Approximation durch Kantorovic-Polynome
• The approximation of continuous functions by positive linear operators
• A note on the degree of approximation to continuous functions
• On the precision of uniform approximation of continuous functions by certain linear positive operators of convolution type
• Minimum Moduli of Ordinary Differential Operators

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