Volume 51, pp. 1-14, 2019.
Bernstein fractal approximation and fractal full Müntz theorems
Vijender Nallapu
Abstract
Fractal interpolation functions defined by means of suitable Iterated Function Systems
provide a new framework for the approximation of continuous functions defined on a compact real interval.
Convergence is one of the desirable properties of a good approximant.
The goal of the present paper is to develop fractal approximants, namely
Bernstein
Full Text (PDF) [503 KB], BibTeX , DOI: 10.1553/etna_vol51s1
Key words
Bernstein polynomials, fractal approximation, convergence, full Müntz theorems, Chebyshev series, box dimension.
AMS subject classifications
41A30, 28A80, 41A17, 41A50.
Links to the cited ETNA articles
[16] | Vol. 20 (2005), pp. 64-74 M. A. Navascues: Fractal trigonometric approximation |
[29] |
Vol. 41 (2014), pp. 420-442 Puthan Veedu Viswanathan and Arya Kumar Bedabrata Chand:
|