Acta mathematica scientia,Series A ›› 2003, Vol. 23 ›› Issue (1): 65-69.

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Some Approximation Theorem of TwoDimensional Baskakov Operators

 WANG Pan, XU Ji-Hua-   

  • Online:2003-02-25 Published:2003-02-25
  • Supported by:

    武汉大学青年教师基金

Abstract:

Making use of multivariate decompose skills and results of onedimensional Baskakov operators. It is abtained that \$f∈C\-0(T\+2),‖V\-n(f)-f‖≤cω\-2(f,[SX(]1[]n[SX)]);\$ and \$f∈C\+2(T\+2),lim[DD(X]n→∞[DD)]n(V\-n(f)-f)=[SX(]x(1+x)[]2[SX)]f\-\{11\}+[SX(]y(1+y)[]2[SX)]
f\-\{22\}+[SX(]xy[]2[SX)]f\-\{12\}.\$

Key words: Linear operators;  , Multivariate decompose skill;  , Approximation.

CLC Number: 

  • 41A10
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