Local smoothness of functions and Bernstein-Durrmeyer operators

DOI10.1016/0898-1221(95)00088-7zbMath0838.41016OpenAlexW2031676936MaRDI QIDQ1904162

Heinz H. Gonska, Ding-Xuan Zhou

Publication date: 18 December 1995

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00088-7

zbMATH Keywords

Bernstein-Durrmeyer operatorsKantorovich operatorsBernstein type operatorslocal Lipschitz conditionssingular detection

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35)

Related Items (2)

On certain properties of the combinations of Szász-Durrmeyer operators ⋮ Moment estimations of new Szász-Mirakyan-Durrmeyer operators

Cites Work

• Aspects of de La Vallée Poussin's work in approximation and its influence
• A global inverse theorem on simultaneous approximation by Bernstein- Durrmeyer operators
• Inverse theorems for multidimensional Bernstein-Durrmeyer operators in \(L_ p\)
• Strong converse inequality for the Bernstein-Durrmeyer operator
• The lower estimate for linear positive operators. I
• The strong converse inequality for Bernstein-Kantorovich operators
• Strong converse inequalities
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