JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (6): 96-98.doi: 10.6040/j.issn.1671-9352.0.2018.256

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Study on the approximation properties of Gauss-Weierstrass operator

WANG Tao   

  1. School of Mathematics and Statistics, Shandong Unversity of Technology, Zibo 255049, Shandong, China
  • Published:2019-06-05

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Abstract: We use analytic methods and function decomposition technique to study bounded functions for Gauss-Weierstrass operators in probability type operators, and obtain the pointwise asymptotic expansion and preserving properties for bounded functions.

Key words: Gauss-Weierstrass operator, quasi left and right derivable, asymptotic expansion

CLC Number: 

  • O174.41
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