On smoothness characterized by Bernstein type operators

DOI10.1006/jath.1995.1052zbMath0849.41014OpenAlexW1965934531MaRDI QIDQ1899344

Ding-Xuan Zhou

Publication date: 9 October 1995

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

Full work available at URL: https://doi.org/10.1006/jath.1995.1052

zbMATH Keywords

Bernstein operatorsKantorovich operatorssmoothness of functions

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (16)

The \(L_p\)-saturation for linear combination of Bernstein-Kantorovich operators ⋮ Weighted approximation of functions with singularities by combinations of Bernstein operators ⋮ Simultaneous approximation by combinations of Bernstein-Kantorovich operators ⋮ Approximation by a class of modified Szász-Durrmeyer operators ⋮ Derivatives of multivariate Bernstein operators and smoothness with Jacobi weights ⋮ Unnamed Item ⋮ Strong type of Steckin inequality for the linear combination of Bernstein operators ⋮ The lower estimate for the linear combinations of Bernstein-Kantorovich operators ⋮ Derivatives of multidimensional Bernstein operators and smoothness ⋮ Equivalent theorems on simultaneous approximation by combinations of Bernstein operatores ⋮ Weighted approximation by Bernstein quasiinterpolants for functions with singularities ⋮ Simultaneous approximation by Bernstein-Sikkema operators ⋮ The characterization of the derivatives for linear combinations of Post-Widder operators in \(L_p\) ⋮ The eigenstructure of the Bernstein operator ⋮ Pointwise simultaneous approximation by combinations of Bernstein operators ⋮ Pointwise approximation theorems for combinations and derivatives of Bernstein polynomials

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