Geodesic
On Stancu operators depending on a non-negative integer
Filomat, Tome 36 (2022) no. 18, p. 6129

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

DOI

In this paper, we deal with Stancu operators which depend on a non-negative integer parameter. Firstly, we define Kantorovich extension of the operators. For functions belonging to the space L p [0, 1] , 1 ≤ p ∞, we obtain convergence in the norm of L p by the sequence of Stancu-Kantorovich operators, and we give an estimate for the rate of the convergence via first order averaged modulus of smoothness. Moreover, for the Stancu operators; we search variation detracting property and convergence in the space of functions of bounded variation in the variation seminorm.
DOI : 10.2298/FIL2218129B
Classification : 41A36, 41A25, 26A45
Keywords: Stancu operator depending on a non-negative integer, Kantorovich operators, Lp-convergence, Averaged modulus of smoothness, Variation detracting property, Convergence in variation seminorm 
Tuğba Bostancı; Gülen Başcanbaz-Tunca. On Stancu operators depending on a non-negative integer. Filomat, Tome 36 (2022) no. 18, p. 6129 . doi: 10.2298/FIL2218129B
@article{10_2298_FIL2218129B,
     author = {Tu\u{g}ba Bostanc{\i} and G\"ulen Ba\c{s}canbaz-Tunca},
     title = {On {Stancu} operators depending on a non-negative integer},
     journal = {Filomat},
     pages = {6129 },
     year = {2022},
     volume = {36},
     number = {18},
     doi = {10.2298/FIL2218129B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2218129B/}
}
TY  - JOUR
AU  - Tuğba Bostancı
AU  - Gülen Başcanbaz-Tunca
TI  - On Stancu operators depending on a non-negative integer
JO  - Filomat
PY  - 2022
SP  - 6129 
VL  - 36
IS  - 18
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2218129B/
DO  - 10.2298/FIL2218129B
LA  - en
ID  - 10_2298_FIL2218129B
ER  - 
%0 Journal Article
%A Tuğba Bostancı
%A Gülen Başcanbaz-Tunca
%T On Stancu operators depending on a non-negative integer
%J Filomat
%D 2022
%P 6129 
%V 36
%N 18
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2218129B/
%R 10.2298/FIL2218129B
%G en
%F 10_2298_FIL2218129B

Cité par Sources :