On approximation of continuously differentiable functions by positive linear operators

DOI10.1017/S0004972700011497zbMath0494.41014MaRDI QIDQ3957368

Heinz H. Gonska

Publication date: 1983

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Bernstein operatorscontinuously differentiable functionspointwise degree of approximationHermite-Fejer operators

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

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Cites Work

• Unnamed Item
• A new estimate for the approximation of functions by Hermite-Fejer interpolation polynomials
• The degree of local approximation of functions in \(C_1[0,1\) by Bernstein polynomials]
• On the degree of approximation by linear positive operators
• The approximation of continuous functions by positive linear operators
• Quantitative results for positive linear approximation operators
• THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS