Geodesic
Approximation properties and q-statistical convergence of Kantorovich variant of Stancu type Lupas operators
Filomat, Tome 37 (2023) no. 29, p. 10107

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

DOI

We introduce Kantorovich variant of Stancu-Lupas operators and study convergence and q-statistical convergence properties using Korovkin theorem. Rate of convergence is analyzed in terms of modulus of continuity, elements of Lipschitz class and Peetre's K-functional. Direct theorems are proved and Voronovskaja type theorem is established. Graphical analysis of convergence and error estimations are presented with the help of MATLAB.
DOI : 10.2298/FIL2329107M
Classification : 41A10, 41A25, 41A36, 40A30
Keywords: Kantorovich-Stancu-Lupas operators, Modulus of continuity, Korovkin approximation theorem, Voronovskaja type theorems, q-statistical convergence 
Gufran Malik; Taqseer Khan; M Mursaleen. Approximation properties and q-statistical convergence of Kantorovich variant of Stancu type Lupas operators. Filomat, Tome 37 (2023) no. 29, p. 10107 . doi: 10.2298/FIL2329107M
@article{10_2298_FIL2329107M,
     author = {Gufran Malik and Taqseer Khan and M Mursaleen},
     title = {Approximation properties and q-statistical convergence of {Kantorovich} variant of {Stancu} type {Lupas} operators},
     journal = {Filomat},
     pages = {10107 },
     year = {2023},
     volume = {37},
     number = {29},
     doi = {10.2298/FIL2329107M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2329107M/}
}
TY  - JOUR
AU  - Gufran Malik
AU  - Taqseer Khan
AU  - M Mursaleen
TI  - Approximation properties and q-statistical convergence of Kantorovich variant of Stancu type Lupas operators
JO  - Filomat
PY  - 2023
SP  - 10107 
VL  - 37
IS  - 29
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2329107M/
DO  - 10.2298/FIL2329107M
LA  - en
ID  - 10_2298_FIL2329107M
ER  - 
%0 Journal Article
%A Gufran Malik
%A Taqseer Khan
%A M Mursaleen
%T Approximation properties and q-statistical convergence of Kantorovich variant of Stancu type Lupas operators
%J Filomat
%D 2023
%P 10107 
%V 37
%N 29
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2329107M/
%R 10.2298/FIL2329107M
%G en
%F 10_2298_FIL2329107M

Cité par Sources :