Voronovskaja formula for Aldaz-Kounchev-Render operators: uniform convergence

DOI10.1007/s13324-023-00861-3zbMath1528.41046MaRDI QIDQ6145788

Ulrich Abel, Ana-Maria Acu, Margareta Heilmann, Ioan Raşa

Publication date: 9 January 2024

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

uniform convergenceBernstein operatorVoronovskaja formulaAldaz-Kounchev-Render operators

Mathematics Subject Classification ID

Approximation by positive operators (41A36) Approximation by other special function classes (41A30)

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic formulae via a Korovkin-type result
• Bernstein-type operators which preserve polynomials
• Shape preserving properties of generalized Bernstein operators on extended Chebyshev spaces
• General King-type operators
• Shape preserving approximation by Bernstein-type operators which fix polynomials
• Positive linear operators which preserve \(x^2\)
• Complete asymptotic expansions related to conjecture on a Voronovskaja-type theorem
• A proof of a conjecture about the asymptotic formula of a Bernstein type operator
• Szász-Mirakyan type operators which fix exponentials
• Aldaz-Kounchev-Render operators and their approximation properties
• Bernstein type operators having 1 and \(x^j\) as fixed points
• VORONOVSKAYA TYPE RESULTS AND OPERATORS FIXING TWO FUNCTIONS
• Another look at Voronovskaja type formulas
• A Quantitative Variant of Voronovskaja's Theorem for King-Type Operators
• A note on Baskakov‐Kantorovich type operators preserving e^−x

This page was built for publication: Voronovskaja formula for Aldaz-Kounchev-Render operators: uniform convergence