TY  - JOUR
TI  - Parametric Extension of a Certain Family of Summation-Integral Type Operators
AB  - In this paper, we introduce a parametric extension of a certain family of summation-integral type operators on the interval [0,∞). Firstly, we obtain test functions and central moments. Secondly, we investigate weighted approximation properties for these operators and estimate the rate of convergence. Then, we give a pointwise approximation for the Peetre K-functional and functions of the Lipschitz class. Moreover, we demonstrate Voronovskaja type theorem for the operators. Finally, the convergence properties of operators to some functions are illustrated by graphics.
AU  - yuksel, ismet
AU  - Odabaşı, Nadire Fulda
DO  - 10.17776/csj.1173496
PY  - 2023
JO  - Cumhuriyet Science Journal
VL  - 44
IS  - 2
SN  - 2587-2680
SP  - 315
EP  - 327
DB  - TRDizin
UR  - http://search/yayin/detay/1186305
ER  -