On simultaneous approximation by iterated Boolean sums of Bernstein operators

DOI10.1007/s00025-014-0389-zzbMath1300.41013OpenAlexW2034384035MaRDI QIDQ471729

Borislav R. Draganov

Publication date: 17 November 2014

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-014-0389-z

zbMATH Keywords

Bernstein polynomials\(K\)-functionalsimultaneous approximationmodulus of smoothnessBoolean sumsiteratesupper error estimate

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Simultaneous approximation (41A28) Approximation by positive operators (41A36)

Related Items (1)

Strong estimates of the weighted simultaneous approximation by the Bernstein and Kantorovich operators and their iterated Boolean sums

Cites Work

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• On the convergence of derivatives of Bernstein approximation
• Quantitative Korovkin type theorems on simultaneous approximation
• K-functionals and weighted moduli of smoothness
• \(K\)-functionals and multivariate Bernstein polynomials
• Ein Satz vom Korovkin-Typ für \(C^k\)- Räume
• Approximation theorems for the iterated Boolean sums of Bernstein operators
• New moduli of smoothness: weighted DT moduli revisited and applied
• Strong converse inequalities

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