Direct and converse Voronovskaya estimates for the Bernstein operator
DOI10.1007/s00025-018-0795-8zbMath1390.41021OpenAlexW2791586927MaRDI QIDQ1743216
Ivan Gadjev, Borislav R. Draganov
Publication date: 13 April 2018
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-018-0795-8
Bernstein polynomials\(K\)-functionalmodulus of smoothnessconverse estimatedirect estimateVoronovskaya inequality
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) Inverse theorems in approximation theory (41A27) Saturation in approximation theory (41A40)
Cites Work
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- Geometric series of positive linear operators and the inverse Voronovskaya theorem on a compact interval
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- New moduli of smoothness: weighted DT moduli revisited and applied
- Constrained Approximation with Jacobi Weights
- Bernstein Operators and Their Properties
- New moduli of smoothness
- Strong converse inequalities
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