The \(L_ 1\) norm of the approximation error for Bernstein-type polynomials

DOI10.1016/0021-9045(71)90001-3zbMath0222.41010OpenAlexW4234562099MaRDI QIDQ2547685

Wassily Hoeffding

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1016/0021-9045(71)90001-3

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items (15)

On a limit theorem for some modified operators ⋮ The L\(_1\) norm of the approximation error for splines with equidistant knots ⋮ \(L_p\)-approximation by Kantorovic operators ⋮ \(L_ p\)-error estimates for positive linear operators using the second- order \(\tau\)-modulus ⋮ Metric approximation of set-valued functions of bounded variation ⋮ Güteabschätzungen für den Kantorovic-Operator in der \(L_1\)-Norm ⋮ Degree of \(L_1\) approximation to integrable functions by modified Bernstein polynomials ⋮ Die Gute der \(L_p\)-Approximation durch Kantorovic-Polynome ⋮ The \(L_2\) norm of the approximation error for Bernstein polynomials ⋮ The \(L_1\) saturation class of the Kantorovic operator ⋮ Variation Norm Convergence of Function Sequences ⋮ Güteabschätzungen für den Kantorovic-Operator in der \(L_1\)-Norm ⋮ Approximation by Means of Kantorovich-Stancu Type Operators ⋮ Uniform boundedness of Kantorovich operators in variable exponent Lebesgue spaces ⋮ On the \(L_ p\) norm for some approximation operators

Cites Work

• Unnamed Item
• On the centering of a simple linear rank statistic

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