Upper estimates in direct inequalities for Bernstein-type operators

DOI10.1006/jath.2000.3547zbMath0974.41016OpenAlexW2086450386MaRDI QIDQ5933477

Carmen Sangüesa, José A. Adell

Publication date: 12 December 2001

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

Full work available at URL: https://doi.org/10.1006/jath.2000.3547

zbMATH Keywords

upper estimatestochastic processBernstein-type operatorsdirect inequalityDitzian-Totik modules

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (7)

Towards the best constant in front of the Ditzian-Totik modulus of smoothness ⋮ Asymptotic and non-asymptotic results in the approximation by Bernstein polynomials ⋮ Estimates in direct inequalities for the Szász-Mirakyan operator ⋮ Estimates of positive linear operators in terms of second-order moduli ⋮ Approximation by \(B\)-spline convolution operators. A probabilistic approach ⋮ Optimal stochastic Bernstein polynomials in Ditzian-Totik type modulus of smoothness ⋮ On the preservation of log convexity and log concavity under some classical Bernstein-type operators

Cites Work

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• Approximation by means of piecewise linear functions
• Strong converse inequality for Kantorovich polynomials
• Direct estimate for Bernstein polynomials
• Bernstein-type operators diminish the \(\varphi\)-variation
• Cesaro-Perron Almost Periodic Functions
• Strong converse inequalities
• Strong converse inequalities

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