New representation of the remainder in the Bernstein approximation

DOI10.1016/j.jmaa.2011.02.005zbMath1220.41002OpenAlexW2028319874WikidataQ115600863 ScholiaQ115600863MaRDI QIDQ542879

Mircea Ivan, Ulrich Abel

Publication date: 20 June 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.02.005

zbMATH Keywords

Bernstein polynomialsdivided differencesWeierstrass approximation theorem

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (4)

A note on the remainder in the approximation of functions by some positive linear operators ⋮ On the Remainder Term of Some Bivariate Approximation Formulas Based on Linear and Positive Operators ⋮ A new method for the approximation of integrals using the generalized Bernstein quadrature formula ⋮ Note on fuzzy monotonic interpolating splines of odd degree

Cites Work

• Unnamed Item
• On the convergence of derivatives of Bernstein approximation
• The Remainder of Certain Linear Approximation Formulas in Two Variables

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