The \(L_1\) saturation class of the Kantorovic operator

DOI10.1016/0021-9045(78)90054-0zbMath0397.41012OpenAlexW2088609914MaRDI QIDQ1253752

Volker Maier

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-9045(78)90054-0

zbMATH Keywords

Kantorovic Operator

Mathematics Subject Classification ID

Approximation by positive operators (41A36) Saturation in approximation theory (41A40)

Related Items (18)

POINTWISE APPROXIMATION BY BERNSTEIN POLYNOMIALS ⋮ The \(L_p\)-saturation for linear combination of Bernstein-Kantorovich operators ⋮ \(L_ p\)-saturation of some modified Bernstein operators ⋮ \(L_p\)-approximation by Kantorovic operators ⋮ Saturation of linear combinations of baskakov-durrmeyer-type operators ⋮ Problems and solutions concerning Kantorovich operators ⋮ Kantorovic operators of second order ⋮ Asymptotic properties of powers of Kantorovic operators ⋮ Approximation by Meyer-Koenig and Zeller type operators ⋮ \(L^ p\)-inverse theorems for beta operators ⋮ A global inverse theorem on simultaneous approximation by Bernstein- Durrmeyer operators ⋮ Inverse results of approximation and the saturation order for the sampling Kantorovich series ⋮ The lower estimate for the linear combinations of Bernstein-Kantorovich operators ⋮ Estimacion de la funcion cuantil y cuantil-densidad mediante polinomios de Kantorovic ⋮ Kantorovich-Bernstein polynomials ⋮ Approximation by Szasz-Mirakjan-Kantorovich operators in \(L^p\) \((p>1)\) ⋮ Converse theorems for multidimensional Kantorovich operators ⋮ Saturation of Kantorovich type operators

Cites Work

• The \(L_ 1\) norm of the approximation error for Bernstein-type polynomials
• What is the Laplace Transform?
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