Die Gute der \(L_p\)-Approximation durch Kantorovic-Polynome

DOI10.1007/BF01214936zbMath0322.41012MaRDI QIDQ1223770

Manfred W. Müller

Publication date: 1976

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172448

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

Degree of \(L_ p-\)approximation by certain positive convolution operators ⋮ Asymptotic properties of powers of Kantorovic operators ⋮ A characterization of weighted Peetre K-functionals ⋮ Modules ⋮ Quantitative estimates for \(L_ p\) approximation with positive linear operators ⋮ Uniform boundedness of Kantorovich operators in variable exponent Lebesgue spaces

Cites Work

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• Degree of \(L_1\) approximation to integrable functions by modified Bernstein polynomials
• The \(L_ 1\) norm of the approximation error for Bernstein-type polynomials
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
• On multipliers preserving convergence of trigonometric series almost everywhere
• Güteabschätzungen für den Kantorovic-Operator in der \(L_1\)-Norm

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