Geodesic
Approximation properties of bivariate Szász Durrmeyer operators via Dunkl analogue
Filomat, Tome 35 (2021) no. 13, p. 4515

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

DOI

In the present article, we construct a new sequence of bivariate Szász-Durrmeyer operators based on Dunkl analogue. We investigate the order of approximation with the aid of modulus of continuity in terms of well known Peetre's K-functional, weighted approximation results, Voronovskaja type theorems and Lipschitz maximal functions. Further, we also discuss here the approximation properties of the operators in Bögel-space by use of mixed-modulus of continuity
DOI : 10.2298/FIL2113515R
Classification : 41A10, 41A25, 41A35, 41A36
Keywords: Szász operators, Simultaneous approximation, Peetre’s K-functional, Voronovskaja type theorem, Mixed-modulus of continuity, Bögel functions 
Nadeem Rao; Md Heshamuddin; Mohd Shadab; Anshul Srivastava. Approximation properties of bivariate Szász Durrmeyer operators via Dunkl analogue. Filomat, Tome 35 (2021) no. 13, p. 4515 . doi: 10.2298/FIL2113515R
@article{10_2298_FIL2113515R,
     author = {Nadeem Rao and Md Heshamuddin and Mohd Shadab and Anshul Srivastava},
     title = {Approximation properties of bivariate {Sz\'asz} {Durrmeyer} operators via {Dunkl} analogue},
     journal = {Filomat},
     pages = {4515 },
     year = {2021},
     volume = {35},
     number = {13},
     doi = {10.2298/FIL2113515R},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2113515R/}
}
TY  - JOUR
AU  - Nadeem Rao
AU  - Md Heshamuddin
AU  - Mohd Shadab
AU  - Anshul Srivastava
TI  - Approximation properties of bivariate Szász Durrmeyer operators via Dunkl analogue
JO  - Filomat
PY  - 2021
SP  - 4515 
VL  - 35
IS  - 13
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2113515R/
DO  - 10.2298/FIL2113515R
LA  - en
ID  - 10_2298_FIL2113515R
ER  - 
%0 Journal Article
%A Nadeem Rao
%A Md Heshamuddin
%A Mohd Shadab
%A Anshul Srivastava
%T Approximation properties of bivariate Szász Durrmeyer operators via Dunkl analogue
%J Filomat
%D 2021
%P 4515 
%V 35
%N 13
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2113515R/
%R 10.2298/FIL2113515R
%G en
%F 10_2298_FIL2113515R

Cité par Sources :