TY  - JOUR
TI  - On the eigenstructure of the $q$-Durrmeyer operators
AB  - The purpose of this paper is to establish the eigenvalues and the eigenfunctions of both the $q$ -Durrmeyer operators Dn,$q$ and the limit $q$ -Durrmeyer operators D∞,$q$ introduced by V. Gupta in the case 0 < $q$ < 1 . All moments for Dn,$q$ and D∞,$q$ are provided. The coefficients for the eigenfunctions of the operators are explicitly derived and the eigenfunctions of these operators are illustrated by graphical examples.
AU  - Gürel Yılmaz, Övgü
DO  - 10.55730/1300-0098.3454
PY  - 2023
JO  - Turkish Journal of Mathematics
VL  - 47
IS  - 6
SN  - 1300-0098
SP  - 1643
EP  - 1658
DB  - TRDizin
UR  - http://search/yayin/detay/1208598
ER  -