The impact of the limit q-durrmeyer operator on continuous functions
Künye
Yılmaz, Ö.G., Ostrovska, S. & Turan, M. (2024). The Impact of the Limit q-Durrmeyer Operator on Continuous Functions. Computational Methods and Function Theory. https://doi.org/10.1007/s40315-024-00534-7Özet
The limit q-Durrmeyer operator, D-infinity,D-q, was introduced and its approximation properties were investigated by Gupta (Appl. Math. Comput. 197(1):172-178, 2008) during a study of q-analogues for the Bernstein-Durrmeyer operator. In the present work, this operator is investigated from a different perspective. More precisely, the growth estimates are derived for the entire functions comprising the range of D-infinity,D-q. The interrelation between the analytic properties of a function f and the rate of growth for D(infinity,q)f are established, and the sharpness of the obtained results are demonstrated.
