Geodesic
Approximation properties of bivariate extension of blending type operators
Filomat, Tome 37 (2023) no. 29, p. 9945

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

DOI

The present article is in the continuation of our previous work [26], where we have improved the order of approximation of α−Bernstein Păltănea operators. In the given note, we study the bivariate extension of first order modification of these operators and their approximation properties such as convergence , error of approximation in terms of complete and partial modulus of continuity and their asymptotic formula. We present numerical examples to show the convergence of functions of two variables with the help of MATLAB software. Also, we construct the GBS operators associated to the bivariate extension and present their approximation behavior.
DOI : 10.2298/FIL2329945K
Classification : 26A15, 40A05, 41A10, 41A25, 41A35, 41A60
Keywords: Modulus of continuity, Convergence of series and sequences, Rate of convergence, Approximation by positive operators, Asymptotic approximations 
Jaspreet Kaur; Meenu Goyal. Approximation properties of bivariate extension of blending type operators. Filomat, Tome 37 (2023) no. 29, p. 9945 . doi: 10.2298/FIL2329945K
@article{10_2298_FIL2329945K,
     author = {Jaspreet Kaur and Meenu Goyal},
     title = {Approximation properties of bivariate extension of blending type operators},
     journal = {Filomat},
     pages = {9945 },
     year = {2023},
     volume = {37},
     number = {29},
     doi = {10.2298/FIL2329945K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2329945K/}
}
TY  - JOUR
AU  - Jaspreet Kaur
AU  - Meenu Goyal
TI  - Approximation properties of bivariate extension of blending type operators
JO  - Filomat
PY  - 2023
SP  - 9945 
VL  - 37
IS  - 29
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2329945K/
DO  - 10.2298/FIL2329945K
LA  - en
ID  - 10_2298_FIL2329945K
ER  - 
%0 Journal Article
%A Jaspreet Kaur
%A Meenu Goyal
%T Approximation properties of bivariate extension of blending type operators
%J Filomat
%D 2023
%P 9945 
%V 37
%N 29
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2329945K/
%R 10.2298/FIL2329945K
%G en
%F 10_2298_FIL2329945K

Cité par Sources :