\(L_ p\)-saturation of some modified Bernstein operators

DOI10.1016/0021-9045(88)90003-2zbMath0654.41021OpenAlexW2041839253MaRDI QIDQ1108508

Margareta Heilmann

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-9045(88)90003-2

Mathematics Subject Classification ID

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

Related Items

New range theorems for the dual Radon transform ⋮ Saturation of linear combinations of baskakov-durrmeyer-type 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 ⋮ Improved approximation and error estimations by King type \((p, q)\)-Szász-Mirakjan Kantorovich operators ⋮ L p approximation by general Bernstein-Durrmeyer operator defined on simplex ⋮ A Kantorovich variant of Lupaş-Stancu operators based on Pólya distribution with error estimation ⋮ Approximation of a kind of Nevai-Durrmeyer operators inL w p spaces ⋮ Generalized Bernstein-Durrmeyer operators and the associated limit semigroup

Cites Work

• \(L_p\)-approximation by Kantorovic operators
• Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
• The \(L^p\)-saturation of the Bernstein-Kantorovitch polynomials
• The \(L_1\) saturation class of the Kantorovic operator
• What is the Laplace Transform?
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