Asymptotic formulae of multivariate Bernstein approximation

DOI10.1016/0021-9045(92)90086-4zbMath0766.41009OpenAlexW2084405656MaRDI QIDQ1198153

Ming-Jun Lai

Publication date: 16 January 1993

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(92)90086-4

zbMATH Keywords

multivariate Bernstein polynomialsmultivariate Voronovskaja type theorem

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Approximation by positive operators (41A36)

Related Items (8)

Approximation of multivariate function by using new multivariate Bernstein \(\alpha\)-polynomials ⋮ The complete asymptotic expansion for Baskakov operators ⋮ Asymptotic expansions of the representation formulae for (C₀) m-parameter operator semigroups¹.² ⋮ Saturation in multivariate simultaneous approximation ⋮ Asymptotic expansion of multivariate Kantorovich type operators ⋮ Multivariate approximation by a combination of modified Taylor polynomials ⋮ Asymptotic expansions for multivariate polynomial approximation ⋮ Asymptotic expansion of multivariate conservative linear operators

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