- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 69 Issue: 1
- Approximation by sampling type discrete operators
Approximation by sampling type discrete operators
Authors : Ismail Aslan
Pages : 969-980
Doi:10.31801/cfsuasmas.671237
View : 5 | Download : 5
Publication Date : 2020-06-30
Article Type : Research
Abstract :In this paper, we deal with discrete operators of sampling type. It is known that this type of operators are related to generalized sampling series and they have important applications. In this work, using bounded and uniformly continuous functions we get general estimations under usual supremum norm with the help of summability method. We also study the degree of approximation with respect to suitable Lipschitz class of continuous functions. Finally, we give specific kernels which verify our kernel assumptions.Keywords : Sampling type operators, rate of approximation, summability process