On multivariate Baskakov operator

DOI10.1016/j.jmaa.2004.10.061zbMath1067.41017OpenAlexW2054066858MaRDI QIDQ555846

Chunmei Ding, Feilong Cao, Zong Ben Xu

Publication date: 10 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.10.061

zbMATH Keywords

ConvexityApproximationModulus of smoothnessMultivariate Baskakov operator

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items

Improved rate of approximation by modification of Baskakov operator ⋮ Estimation of approximation with Jacobi weights by multivariate Baskakov operator ⋮ The complete asymptotic expansion for Baskakov operators ⋮ Approximation by multivariate Baskakov-Durrmeyer operators in Orlicz spaces ⋮ On multivariate Bleimann, Butzer and Hahn operators ⋮ On bivariate Bernstein-Chlodowsky operators ⋮ Bivariate Bernstein type operators ⋮ \(L^p\)-approximation by multivariate Baskakov-Kantorovich operators ⋮ Generalized q-Baskakov operators ⋮ Approximation by complex Baskakov-Stancu operators in compact disks ⋮ \(L^p\) approximation by multivariate Baskakov-Durrmeyer operator ⋮ On a Chlodovsky variant of a multivariate beta operator ⋮ Approximation by multivariate Baskakov-Kantorovich operators in Orlicz spaces ⋮ Bivariate Baskakov type operators ⋮ On bivariate Jain operators

Cites Work

• The convexity of Bernstein polynomials over triangles
• On simultaneous approximation by modified Lupas operators
• Uniform approximation by exponential-type operators
• The modulus of continuity of the remainder in the approximation of Lipschitz functions
• Uniform approximation by Baskakov and Meyer-Koenig and Zeller operators
• An interpolation theorem and its applications to positive operators
• \(K\)-moduli, moduli of smoothness, and Bernstein polynomials on a simplex
• On the iterates of some Bernstein-type operators
• Lipschitz constants for the Bernstein polynomials of a Lipschitz continuous function
• Bernstein polynomials and modulus of continuity
• On Global Inverse Theorems of Szász and Baskakov Operators
• Approximation by Bernstein Polynomials
• Mixed and Directional Derivatives
• Strong converse inequalities
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