Linear Summability of Bivariate Trigonometric Interpolation Polynomials
Received:April 21, 2004  
Key Words: summation factor converges uniformly   best approximation order.  
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Author NameAffiliation
ZHANG Shu-ting School of Mathematics, Jilin University, Changchun 130012, China 
WANG Shu-yun School of Mathematics, Jilin University, Changchun 130012, China 
HE Jia-xing School of Mathematics, Jilin University, Changchun 130012, China 
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Abstract:
      We construct a summation factor in this paper, such that the bivariate trigonometric polynomials with the summation factor converge uniformly on the whole plane for any $f(x,y) \in C(\Omega )$, and have the best approximation order.
Citation:
DOI:10.3770/j.issn:1000-341X.2006.02.028
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