General Voronovskaya and asymptotic theorems in simultaneous approximation

DOI10.1007/s00009-010-0025-4zbMath1194.41026OpenAlexW2062880363MaRDI QIDQ980473

Radu Păltănea, Heinz H. Gonska

Publication date: 29 June 2010

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0025-4

zbMATH Keywords

simultaneous approximationBernstein operatorsVoronovskaya-type theoremStancu operatorsDurrmeyer operatorsconvex operators

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Approximation by operators (in particular, by integral operators) (41A35) Simultaneous approximation (41A28) Approximation by positive operators (41A36)

Related Items (18)

Approximation properties by some modified Szasz-Mirakjan-Kantorovich operators ⋮ Generalized Voronovskaja theorem for \(q\)-Bernstein polynomials ⋮ Kantorovich Operators of Order k ⋮ Voronovskaya-type results for positive linear operators of exponential type and their derivatives ⋮ Quantitative \(q\)-Voronovskaya and \(q\)-Grüss-Voronovskaya-type results for \(q\)-Szász operators ⋮ q-Voronovskaya type theorems forq-Baskakov operators ⋮ Higher order Kantorovich-type Szász-Mirakjan operators ⋮ Asymptotic formulas for generalized Szász-Mirakyan operators ⋮ Quantitative Voronovskaya type theorems for a general sequence of linear positive operators ⋮ Random linear operators arising from piecewise linear interpolation on the unit interval ⋮ A Voronovskaya-type theorem in simultaneous approximation ⋮ A Voronovskaya-type theorem for the first derivatives of positive linear operators ⋮ On Geometric Series of Positive Linear Operators ⋮ Voronovskaja theorem for simultaneous approximation by Bernstein operators on a simplex ⋮ Direct and converse Voronovskaya estimates for the Bernstein operator ⋮ Quantitative generalized Voronovskaja's formulae for Bernstein polynomials ⋮ Geometric series of positive linear operators and the inverse Voronovskaya theorem on a compact interval ⋮ The new forms of Voronovskaya's theorem in weighted spaces

Cites Work

• On the convergence of derivatives of Bernstein approximation
• Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
• Ein Satz vom Korovkin-Typ für \(C^k\)- Räume
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: General Voronovskaya and asymptotic theorems in simultaneous approximation