Affiliation:
1. Department of Mathematics, Hacettepe University, C¸ ankaya Ankara, Turkey
Abstract
In the present paper, our purpose is to obtain a nonlinear approximation by
using convergence in ?-variation. Angeloni and Vinti prove some
approximation results considering linear sampling-type discrete operators.
These types of operators have close relationships with generalized sampling
series. By improving Angeloni and Vinti?s one, we aim to get a nonlinear
approximation which is also generalized by means of summability process. We
also evaluate the rate of approximation under appropriate Lipschitz classes
of ?-absolutely continuous functions. Finally, we give some examples of
kernels, which fulfill our kernel assumptions.
Publisher
National Library of Serbia
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献