Geodesic
Parametric generalization of the modified Bernstein operators
Filomat, Tome 36 (2022) no. 5, p. 1699

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

The current paper deals with the parametric modification of Bernstein operators which preserve constant and Korovkin's other test functions in limit case. The uniform convergence of the newly constructed operators is studied. Also, the rate of convergence is investigated by means of the modulus of continuity, by using functions which belong to Lipschitz class and by the help of Peetre's-K functionals. Finally, some numerical examples are given to illustrate the effectiveness of the newly defined operators for computing the approximation of function.
DOI : 10.2298/FIL2205699S
Classification : 41A25, 41A36, 47A58
Keywords: Bernstein operators, Parametric generalization, Modulus of continuity 
Melek Sofyalıoğlu; Kadir Kanat; Bayram Çekim. Parametric generalization of the modified Bernstein operators. Filomat, Tome 36 (2022) no. 5, p. 1699 . doi: 10.2298/FIL2205699S
@article{10_2298_FIL2205699S,
     author = {Melek Sofyal{\i}o\u{g}lu and Kadir Kanat and Bayram \c{C}ekim},
     title = {Parametric generalization of the modified {Bernstein} operators},
     journal = {Filomat},
     pages = {1699 },
     year = {2022},
     volume = {36},
     number = {5},
     doi = {10.2298/FIL2205699S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2205699S/}
}
TY  - JOUR
AU  - Melek Sofyalıoğlu
AU  - Kadir Kanat
AU  - Bayram Çekim
TI  - Parametric generalization of the modified Bernstein operators
JO  - Filomat
PY  - 2022
SP  - 1699 
VL  - 36
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2205699S/
DO  - 10.2298/FIL2205699S
LA  - en
ID  - 10_2298_FIL2205699S
ER  - 
%0 Journal Article
%A Melek Sofyalıoğlu
%A Kadir Kanat
%A Bayram Çekim
%T Parametric generalization of the modified Bernstein operators
%J Filomat
%D 2022
%P 1699 
%V 36
%N 5
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2205699S/
%R 10.2298/FIL2205699S
%G en
%F 10_2298_FIL2205699S

Cité par Sources :