Asymptotic constant in approximation of twice differentiable functions by a class of positive linear operators

DOI10.1007/S00025-018-0825-6zbMath1393.41007OpenAlexW2802918628MaRDI QIDQ722476

Radu Păltănea

Publication date: 23 July 2018

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

Full work available at URL: https://doi.org/10.1007/s00025-018-0825-6

zbMATH Keywords

positive linear operatorsasymptotic constantgeneralized Ditzian-Totik modulus

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Best constants in approximation theory (41A44)

Related Items (1)

Asymptotic and non-asymptotic results in the approximation by Bernstein polynomials

Cites Work

• Über den Grad der Approximation mit Bernstein-Polynomen
• A property of Ditzian-Totik second order moduli
• The lower estimate for linear positive operators. II
• The strong converse inequality for Bernstein-Kantorovich operators
• Polynomial Approximation and $\omega^r_\phi (f,t)$ Twenty Years Later
• Approximation by Bernstein Polynomials
• On the Constant in The Lower Estimate for the Bernstein Operator
• Strong converse inequalities
• Lower estimates for centered Bernstein-type operators
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