A Quantitative Variant of Voronovskaja's Theorem for King-Type Operators

DOI10.33205/cma.553427zbMath1463.41024OpenAlexW2959451153WikidataQ127480821 ScholiaQ127480821MaRDI QIDQ4971535

Zoltán Finta

Publication date: 12 October 2020

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33205/cma.553427

zbMATH Keywords

Bernstein operatorsVoronovskaja theoremKing operatorsfirst order Ditzian-Totik modulus of smoothness

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (12)

Improved rate of approximation by modification of Baskakov operator ⋮ King operators which preserve $x^j$ ⋮ Approximation by generalized Baskakov Kantorovich operators of arbitrary order ⋮ On the order of approximation by modified summation-integral-type operators based on two parameters ⋮ Genuine Bernstein-Durrmeyer type operators preserving 1 and \(x^j\) ⋮ Voronovskaja formula for Aldaz-Kounchev-Render operators: uniform convergence ⋮ Aldaz-Kounchev-Render operators on simplices ⋮ Direct and converse theorems for King type operators ⋮ Approximation by α$$ \alpha $$‐Bernstein–Schurer operators and shape preserving properties via q$$ q $$‐analogue ⋮ On the convergence of Bernstein-Kantorovich-Stancu shifted knots operators involving Schurer parameter ⋮ Approximation properties of \(\lambda\)-Gamma operators based on \(q\)-integers ⋮ Aldaz-Kounchev-Render operators and their approximation properties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the convergence of derivatives of Bernstein approximation
• Shape preserving properties of generalized Bernstein operators on extended Chebyshev spaces
• A quantitative variant of Voronovskaja's theorem

This page was built for publication: A Quantitative Variant of Voronovskaja's Theorem for King-Type Operators