Geodesic
Kantorovich variant of Stancu operators
Filomat, Tome 36 (2022) no. 15, p. 5107

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

DOI

Stancu type operators play a crucial role in convergence estimates. The present article concerns the convergence estimates for certain Stancu type Kantorovich operators. We first establish some direct formulas giving the local approximation theorem, Voronovskaja type asymptotic formula, bound for the second central moment with some curtailment, and the global approximation theorem by means of modulus of continuity and the Ditzian-Totik Modulus of smoothness. We also study the difference estimates between Stancu-Bernstein operators and its Kantorovich variant. Further, we show the convergence of these operators by graphics to certain functions.
DOI : 10.2298/FIL2215107G
Classification : 41A10, 41A25, 41A30
Keywords: Stancu operators, Kantorovich variant, Voronovskaja theorem, Simultaneous approximation, Difference estimate 
Vijay Gupta; Anjali . Kantorovich variant of Stancu operators. Filomat, Tome 36 (2022) no. 15, p. 5107 . doi: 10.2298/FIL2215107G
@article{10_2298_FIL2215107G,
     author = {Vijay Gupta and Anjali },
     title = {Kantorovich variant of {Stancu} operators},
     journal = {Filomat},
     pages = {5107 },
     year = {2022},
     volume = {36},
     number = {15},
     doi = {10.2298/FIL2215107G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2215107G/}
}
TY  - JOUR
AU  - Vijay Gupta
AU  - Anjali 
TI  - Kantorovich variant of Stancu operators
JO  - Filomat
PY  - 2022
SP  - 5107 
VL  - 36
IS  - 15
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2215107G/
DO  - 10.2298/FIL2215107G
LA  - en
ID  - 10_2298_FIL2215107G
ER  - 
%0 Journal Article
%A Vijay Gupta
%A Anjali 
%T Kantorovich variant of Stancu operators
%J Filomat
%D 2022
%P 5107 
%V 36
%N 15
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2215107G/
%R 10.2298/FIL2215107G
%G en
%F 10_2298_FIL2215107G

Cité par Sources :