Approximation Theory and its Applications

, Volume 12, Issue 4, pp 67–80 | Cite as

Wave recursive interpolation

  • Cui Zhenwen


In this paper it is studied that the generated theory of wave recursive inter polation of uniform T-subdivision scheme include wave parameter.

The paper analyses the convergence of sequences of control polygons produced by wave recursive inter polation T-subdivision scheme of the form
$$\left\{ {\begin{array}{*{20}c} {P_{Tm}^{k + 1} = P_m^h ,} \\ {P_{Tm + j}^{k + 1} \left( \beta \right) = \sum\limits_{i = 1}^k {\left( {P_{m - i + 1}^k a_{i,j} \left( \beta \right) + P_{m + i}^k a_{i,T - j} \left( \beta \right)} \right)} } \\ \end{array} } \right.$$
, j=1,2,...,T−1; m=0,1,...,nTk; k=0,1,2,.... and differentiability of the limit curve.


Limit Function Wave Parameter Subdivision Scheme Limit Curve Bernstein Polynomial 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer 1996

Authors and Affiliations

  • Cui Zhenwen
    • 1
  1. 1.Department of MathematicsHenan Normal UniversityXinxian, HenanP. R. China

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