TY  - JOUR
T1  - A Method of the Best Approximation by Fractal Function
AU - Gun, O. Thae AU - Suk, Kang Yong AU - Gil, Rim Myong 
JO  - Journal of Engineering and Applied Sciences
VL  - 12
IS  - 6
SP  - 1496
EP  - 1502
PY  - 2017
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2017.1496.1502
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2017.1496.1502
KW  - Fractal interpolation
KW  -fractal approximation
KW  -iterated function system
KW  -fractal function space
KW  -construct
AB  - We present a method constructing a function which is the best approximation for given data and
satisfies the given self-similar condition. For this, we construct a space F of local self-similar fractal functions
and show its properties. Next we present a computational scheme constructing the best fractal approximation
in this space and estimate an error of the constructed fractal approximation. Our best fractal approximation is
a fixed point of some fractal interpolation function.
ER  -