Abstract: This paper uses the fractional Bernstein theorem to prove the fractional Weierstrass’s approximation theorem. And hence, we obtain that the set of fractional functions is dense in the set of continuous functions on a closed interval. The fractional Bernstein polynomial plays an important role in this article, which is the generalization of classical Bernstein polynomial.
Keywords: fractional Bernstein theorem, fractional Weierstrass’s approximation theorem, fractional Bernstein polynomial.
Title: Application of Fractional Bernstein Polynomial
Author: Chii-Huei Yu
International Journal of Interdisciplinary Research and Innovations
ISSN 2348-1218 (print), ISSN 2348-1226 (online)
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