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
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.rae/1209398381
Mathematical Reviews number (MathSciNet):
MR2402866
Real Analysis Exchange
