- Hacettepe Journal of Mathematics and Statistics
- Vol: 45 Issue: 3
- Strong summation process in locally integrable function spaces
Strong summation process in locally integrable function spaces
Authors : Nilay Sahin Bayram
Pages : 683-694
View : 14 | Download : 6
Publication Date : 2016-06-01
Article Type : Research
Abstract :In this paper, using the concept of strong summation process, we give a Korovkin type approximation theorem for a sequence of positive linear operators acting from $L_p,q (loc)$ into itself. We also study modulus of continuity for $L_p,q (loc)$ approximation and give the rate of convergence of these operators.Keywords : A-summability, positive linear operators, locally integrable functions, Korovkin type theorem, modulus of continuity, rate of convergence