Asymptotic expansion of multivariate conservative linear operators

DOI10.1016/S0377-0427(02)00661-1zbMath1025.41013OpenAlexW1992263716MaRDI QIDQ1863286

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

Publication date: 11 March 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(02)00661-1

zbMATH Keywords

asymptotic expansionmultivariate simultaneous approximationconservative linear operator

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items (16)

New Korovkin type theorem for non-tensor Meyer-König and Zeller operators ⋮ A converse of asymptotic formulae in simultaneous approximation ⋮ The complete asymptotic expansion for Baskakov operators ⋮ A General Korovkin Result Under Generalized Convergence ⋮ Bernstein-type operators which preserve polynomials ⋮ The Bleimann–Butzer–Hahn operators: old and new results ⋮ Complete asymptotic expansion for generalized Favard operators ⋮ Generalized statistically almost convergence based on the difference operator which includes the \((p,q)\)-gamma function and related approximation theorems ⋮ Saturation in multivariate simultaneous approximation ⋮ Asymptotic expansion of multivariate Kantorovich type operators ⋮ Relatively uniform weighted summability based on fractional-order difference operator ⋮ THE COMPLETE ASYMPTOTIC EXPANSIONS FOR THE SZÁSZ–MIRAKIAN-TYPE OPERATORS ⋮ A Voronovskaya-type result for simultaneous approximation by Bernstein-Chlodovsky polynomials ⋮ On Statistical Deferred Weighted $$\mathcal {B}$$ B -Convergence ⋮ Approximation by the Bézier variant of the MKZ-Kantorovich operators in the case \(\alpha < 1\) ⋮ Korovkin type theorem for non‐tensor Balázs type Bleimann, Butzer and Hahn operators

Cites Work

• Asymptotic formulae of multivariate Bernstein approximation
• On the asymptotic approximation with bivariate operators of Bleimann, Butzer and Hahn
• On the property of monotonic convergence for multivariate Bernstein-type operators
• The complete asymptotic expansion for the Meyer-König and Zeller operators
• Asymptotic expansions for multivariate polynomial approximation
• A Multivariate Faa di Bruno Formula with Applications
• Bernstein Power Series
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