Geodesic
Approximation properties of Bernstein-Stancu operators preserving e −2x
Filomat, Tome 37 (2023) no. 5, p. 1523

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

DOI

Bernstein-Stancu operators are one of the most powerful tool that can be used in approximation theory. In this manuscript, we propose a new construction of Bernstein-Stancu operators which preserve the constant and e −2x , x > 0. In this direction, the approximation properties of this newly defined operators have been examined in the sense of different function spaces. In addition to these, we present the Voronovskaya type theorem for this operators. At the end, we provide two computational examples to demonstrate that the new operator is an approximation procedure.
DOI : 10.2298/FIL2305523U
Classification : 41A36, 41A25
Keywords: Linear positive operators, Benrstein-Stancu Operator, Exponential Functions, Approximation 
Fuat Usta; Mohammad Mursaleen; Íbrahim Çakır. Approximation properties of Bernstein-Stancu operators preserving e −2x. Filomat, Tome 37 (2023) no. 5, p. 1523 . doi: 10.2298/FIL2305523U
@article{10_2298_FIL2305523U,
     author = {Fuat Usta and Mohammad Mursaleen and \'Ibrahim \c{C}ak{\i}r},
     title = {Approximation properties of {Bernstein-Stancu} operators preserving e \ensuremath{-}2x},
     journal = {Filomat},
     pages = {1523 },
     year = {2023},
     volume = {37},
     number = {5},
     doi = {10.2298/FIL2305523U},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2305523U/}
}
TY  - JOUR
AU  - Fuat Usta
AU  - Mohammad Mursaleen
AU  - Íbrahim Çakır
TI  - Approximation properties of Bernstein-Stancu operators preserving e −2x
JO  - Filomat
PY  - 2023
SP  - 1523 
VL  - 37
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2305523U/
DO  - 10.2298/FIL2305523U
LA  - en
ID  - 10_2298_FIL2305523U
ER  - 
%0 Journal Article
%A Fuat Usta
%A Mohammad Mursaleen
%A Íbrahim Çakır
%T Approximation properties of Bernstein-Stancu operators preserving e −2x
%J Filomat
%D 2023
%P 1523 
%V 37
%N 5
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2305523U/
%R 10.2298/FIL2305523U
%G en
%F 10_2298_FIL2305523U

Cité par Sources :