Problems and solutions concerning Kantorovich operators

DOI10.1016/0021-9045(83)90116-8zbMath0496.41009OpenAlexW2089522075MaRDI QIDQ1170455

Vilmos Totik

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90116-8

zbMATH Keywords

Kantorovich polynomials

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Approximation by positive operators (41A36) Saturation in approximation theory (41A40)

Related Items (13)

Linear prediction and simultaneous approximation by \(m\)-th order Kantorovich type sampling series ⋮ \(L^p\) approximation strategy by positive linear operators ⋮ The Bézier variant of Kantorovitch operators ⋮ \(L^ p\)-inverse theorems for beta operators ⋮ Inverse results of approximation and the saturation order for the sampling Kantorovich series ⋮ Inverse theorems for multidimensional Bernstein-Durrmeyer operators in \(L_ p\) ⋮ A note on Kantorovich type Bernstein Chlodovsky operators which preserve exponential function ⋮ Improved approximation and error estimations by King type \((p, q)\)-Szász-Mirakjan Kantorovich operators ⋮ A Kantorovich variant of Lupaş-Stancu operators based on Pólya distribution with error estimation ⋮ K-functionals and weighted moduli of smoothness ⋮ Weighted moduli of smoothness and spline spaces ⋮ Approximation by Means of Kantorovich-Stancu Type Operators ⋮ Converse theorems for multidimensional Kantorovich operators

Cites Work

• \(L_p\)-approximation by Kantorovic operators
• A global inverse theorem for combinations of Bernstein polynomials
• The \(L^p\)-saturation of the Bernstein-Kantorovitch polynomials
• The \(L_1\) saturation class of the Kantorovic operator
• Saturation of positive operators
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