On the degree of approximation of functions in \(C^1_{2\pi}\) with operators of the Jackson type

DOI10.1016/0021-9045(79)90117-5zbMath0422.41013OpenAlexW2060242649MaRDI QIDQ1133693

S. H. Smith

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-9045(79)90117-5

zbMATH Keywords

degree of approximationoperators of the Jackson type

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (5)

An exact constant on the estimation of the approximation of classes of periodic functions of two variables by Ceśaro means ⋮ On exact constants for matrix summation methods ⋮ Exact constants in estimates of approximation of Lipschitz classes of periodic functions by Cesàro means ⋮ Unnamed Item ⋮ An exact constant on the estimation of the approximation error of classes of differentiable functions by the second-order Cesaro means

Cites Work

• Exact constants of approximation of continuous functions by Jackson integrals
• The degree of local approximation of functions in \(C_1[0,1\) by Bernstein polynomials]
• On the approximation of functions by some singular integrals
• Über beste Konstanten und asymptotische Entwicklungen positiver Faltungsintegrale und deren Zusammenhang mit dem Saturationsproblem
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• Unnamed Item

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