Open AccessBetter approximation of functions by genuine Bernstein-Durrmeyer type operators
Author(s) -
Ana Maria Acu,
P. Ν. Agrawal
Publication year - 2019
Publication title -
carpathian journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.812
H-Index - 25
eISSN - 1843-4401
pISSN - 1584-2851
DOI - 10.37193/cjm.2019.02.01
Subject(s) - operator (biology) , mathematics , type (biology) , rate of convergence , modulus of continuity , convergence (economics) , graphics , bernstein polynomial , construct (python library) , computer science , computer graphics (images) , ecology , computer network , biochemistry , chemistry , channel (broadcasting) , repressor , biology , transcription factor , economics , gene , programming language , economic growth
The main object of this paper is to construct a new genuine Bernstein-Durrmeyer type operators which have better features than the classical one. Some direct estimates for the modified genuine Bernstein-Durrmeyer operator by means of the first and second modulus of continuity are given. An asymptotic formula for the new operator is proved. Finally, some numerical examples with illustrative graphics have been added to validate the theoretical results and also compare the rate of convergence.