@article{MAKHILLJEAS201712614275, title = {A Method of the Best Approximation by Fractal Function}, journal = {Journal of Engineering and Applied Sciences}, volume = {12}, number = {6}, pages = {1496-1502}, year = {2017}, issn = {1816-949x}, doi = {jeasci.2017.1496.1502}, url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2017.1496.1502}, author = {O. Thae,Kang Yong and}, keywords = {Fractal interpolation,fractal approximation,iterated function system,fractal function space,construct}, abstract = {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.} }