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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom