Acta Mathematica Sinica, English Series

, Volume 34, Issue 5, pp 921–932 | Cite as

An Affirmative Result of the Open Question on Determining Function Jumps by Spline Wavelets

  • Hai Ying Zhang
  • Xian Liang Shi
  • Jian Zhong Wang


We study the open question on determination of jumps for functions raised by Shi and Hu in 2009. An affirmative answer is given for the case that spline-wavelet series are used to approximate the functions.


Jump B-spline wavelets 

MR(2010) Subject Classification

42A50 42A16 


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The authors thank the referees for helpful suggestions and their time.


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Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  • Hai Ying Zhang
    • 1
  • Xian Liang Shi
    • 2
  • Jian Zhong Wang
    • 3
  1. 1.Science of CollegeHangzhou Dianzi UniversityHangzhouP. R. China
  2. 2.College of Mathematics and Computer ScienceHu’nan Normal UniversityChangshaP. R. China
  3. 3.Department of Mathematics and StatisticsSam Houston State UniversityHuntsvilleUSA

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