- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 3
- Linear positive operators constructed by using Beta-type bases
Linear positive operators constructed by using Beta-type bases
Authors : Octavian Agratini
Pages : 1030-1038
Doi:10.15672/hujms.549015
View : 11 | Download : 5
Publication Date : 2020-06-02
Article Type : Research
Abstract :Starting from a discrete linear approximation process that has the ability to turn polynomials into polynomials of the same degree, we introduce an integral generalization by using Beta-type bases. Some properties of this new sequence of operators are investigated in unweighted and weighted spaces of functions defined on unbounded interval. In our construction particular cases are outlined.Keywords : Korovkin theorem, modulus of smoothness, weighted space, rate of convergence