On Discrete Limits of Sequences of Piecewise Linear Functions



Real Analysis Exchange

On Discrete Limits of Sequences of Piecewise Linear Functions

Zbigniew Grande

Source: Real Anal. Exchange Volume 33, Number 1 (2007), 109-112.

Abstract

In this article we characterize the discrete limits of sequences of piecewise linear functions. A function $f:[0,1]\to\mathR$ is the discrete limit of a sequence of piecewise linear functions iff there are closed sets $A_n$ such that $[0,1] = \bigcup_nA_n$ and the restricted functions $f/A_n$ are linear.

Primary Subjects: 26A15, 26A21, 54C05
Keywords: discrete convergence; sequence of functions; piecewise linear function

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.rae/1209398381
Mathematical Reviews number (MathSciNet): MR2402866


2008 © Michigan State University Press