Quantitative convergence theorems for a class of Bernstein–Durrmeyer operators preserving linear functions

• Published in: Український математичний журнал
• Date: 2010
• Main Authors: Gonska, H., Peltenia, R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166181
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Quantitative convergence theorems for a class of Bernstein–Durrmeyer operators preserving linear functions / H. Gonska, R.Peltenia // Український математичний журнал. — 2010. — Т. 62, № 7. — С. 913–922. — Бібліогр.: 8 назв. — англ.

We supplement recent results on a class of Bernstein–Durrmeyer operators preserving linear functions. This is done by discussing two limiting cases and proving quantitative Voronovskaya-type assertions involving the first-order and second-order moduli of smoothness. The results generalize and improv...