Asymptotic expansion of multivariate Kantorovich type operators

DOI10.1007/s11075-004-3632-yzbMath1089.41018OpenAlexW7967199MaRDI QIDQ1776183

Francisco-Javier Muñoz-Delgado, Antonio-Jesús López-Moreno

Publication date: 20 May 2005

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-004-3632-y

zbMATH Keywords

asymptotic expansionmultivariate approximationsimultaneous approximationVoronovskaja formulaKantorovich operators

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation by positive operators (41A36)

Related Items (5)

On linear combinations of multivariate generalized sampling type series ⋮ Asymptotic formulae for multivariate Kantorovich type generalized sampling series ⋮ New integral type operators ⋮ THE COMPLETE ASYMPTOTIC EXPANSIONS FOR THE SZÁSZ–MIRAKIAN-TYPE OPERATORS ⋮ On Approximation Properties of Two Variables of Modified Kantorovich-Type Operators

Cites Work

• Asymptotic formulae of multivariate Bernstein approximation
• On the asymptotic approximation with bivariate operators of Bleimann, Butzer and Hahn
• Asymptotic expansions for multivariate polynomial approximation
• Asymptotic expansion of multivariate conservative linear operators
• Asymptotic expansion and extrapolation for Bernstein polynomials with applications
• A Multivariate Faa di Bruno Formula with Applications
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