Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (3): 376-382.

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Primal-dual-pseudo Spline and Its Properties

  

  1. 1. Department of Mathematics, Hanshan Normal University2. Department of Mathematics, Shantou University3. School of Computer and Information Technology, Xinyang Normal University
  • Received:2012-02-27 Online:2013-09-30 Published:2023-02-23
  • About author:YANG De-hui(1973-), male, native of Ganzhou, Jiangxi, an associate professor of Hanshan Normal University, Ph.D., engages in wavelets analysis and optimization theory analysis.
  • Supported by:
    Supported by the NNSF of China(11071152);Supported by the NSF of Guangdong (10151503101000025,S2011010004511); Supported by the Opening Project of Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University(201206012)

Abstract: In this paper, basing on a new family of masks, namely primal-dual-pseudo spline(PDPS), we present basics of PDPSs which include the regularity, asymptotical analysis and approximation order.

Key words: primal-dual-pseudo spline, Riesz wavelet, regularity

CLC Number: