Semi-discrete quantitative Voronovskaya-type theorems for positive linear operators

DOI10.1007/S00025-020-01236-XzbMath1448.41019OpenAlexW3041050729MaRDI QIDQ780040

Sorin Gheorghe Gal

Publication date: 14 July 2020

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

Full work available at URL: https://doi.org/10.1007/s00025-020-01236-x

zbMATH Keywords

Bernstein polynomialsmodulus of continuitypositive linear operatorsBernstein-Kantorovich polynomialsLagrange-Hermite interpolationquantitative semi-discrete Voronovskaya results

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Interpolation in approximation theory (41A05) Approximation by positive operators (41A36)

Related Items (1)

Higher order Lupaş-Kantorovich operators and finite differences

Cites Work

• An answer to a conjecture on Bernstein operators
• The complete asymptotic expansion for Bernstein operators
• The limiting semigroup of the Bernstein iterates: degree of convergence
• The Bernstein Voronovskaja-type theorem for positive linear approximation operators
• Classical Kantorovich operators revisited
• Strong converse inequalities
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Semi-discrete quantitative Voronovskaya-type theorems for positive linear operators