Open AccessOn approximation of Bernstein-Durrmeyer-type operators in movable interval
Author(s) -
Fengfeng Wang,
Dansheng Yu
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2104191w
Subject(s) - mathematics , type (biology) , interval (graph theory) , bernstein polynomial , mathematical analysis , asymptotic formula , pure mathematics , combinatorics , ecology , biology
In the present paper, we introduce a new type of Bernstein-Durrmeyer operators preserving linear functions in movable interval. The approximation rate of the new operators for continuous functions and Voronovskaja?s asymptotic estimate are obtained.