Functions and Analysis

    

Rates of Approximation for General Sampling-Type Operators in the Setting of Filter Convergence

Authors: Antonio Boccuto, Xenofon Dimitriou

We investigate the order of approximation of a real-valued function by means of suitable families of sampling type operators, which include both discrete and integral ones. We give a unified approach, by means of which it is possible to consider several kinds of classical operators, for instance Urysohn integral operators, in particular Mellin-type convolution integrals, and generalized sampling series. We deal with filter convergence, and our results are proper extensions of the classical ones.

Comments: 5 Pages.

Download: PDF

Submission history

[v1] 2013-08-19 04:32:59

Unique-IP document downloads: 260 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus