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Asymptotic properties of powers of Kantorovic operators

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Publication:1171717
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DOI10.1016/0021-9045(82)90046-6zbMath0499.41016OpenAlexW2079149528MaRDI QIDQ1171717

Josef Nagel

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-9045(82)90046-6


zbMATH Keywords

Kantorovich operatorVoronovskaja type theorems


Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)


Related Items

Kantorovic operators of second order ⋮ On the spectrum of positive linear operators with a partition of unity property ⋮ Bernstein type asymptotic evaluations for linear positive operators on \(C\left[ \alpha ,\beta \right\)]



Cites Work

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  • Asymptotic properties of powers of Bernstein operators
  • Die Gute der \(L_p\)-Approximation durch Kantorovic-Polynome
  • The \(L^p\)-saturation of the Bernstein-Kantorovitch polynomials
  • The \(L_1\) saturation class of the Kantorovic operator
  • Iterates of Bernstein polynomials
  • Güteabschätzungen für den Kantorovic-Operator in der \(L_1\)-Norm
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