Journal of Hebei University (Natural Science Edition) ›› 2018, Vol. 38 ›› Issue (1): 7-11.DOI: 10.3969/j.issn.1000-1565.2018.01.002

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Weierstrass’s theorem in Lp spaces of random continuous function

CHEN Yingwei,WANG Zhijun   

  1. College of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China
  • Received:2017-08-30 Online:2018-01-25 Published:2018-01-25

Abstract: The purpose of this article is to investigate polynomial approximation properties of random continuous function by the probability method. We obtained the qualitative estimation by random Bernstein’s operator with Lp norm and extended Weierstrass's theorem to random continuous function spaces further.

Key words: random continuous function, Weierstrass's theorem, random Bernstein's operator, random coefficient polynomial

CLC Number: