ON THE BOUNDS OF SCALING FACTORS OF AFFINE FRACTAL INTERPOLATION FUNCTIONS.

Autor: LIANG-YU HSIEH, DAH-CHIN LUOR
Předmět:
Zdroj: Journal of Mathematical Inequalities; Dec2021, Vol. 15 Issue 4, p1321-1330, 10p
Abstrakt: In this paper we obtain an upper bound and a lower bound for each vertical scaling factor sk of an iterated function system so that the obtained affine fractal interpolation function f? has the property that R(x)-d ≤ f?(x) - R(x)+D for all x I, where D and d are given positive constants and R(x)=mx+c is a given linear function on I. As an example, we consider the case that the graph of R is the regression line that fits the given data points by least square method. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index