Estimate of Rate of Convergence of Durrmeyer Polynomials Defined on Simplex for Continuous Function
Received:August 30, 1999  
Key Words: simplex   Durrmeyer Polynomials   continuity function   degree of approximation.  
Fund Project:
Author NameAffiliation
CAO Fei-long Dept. of Math.
Ningxia University
Yinchuan
China 
XIONG Jing-yi Faculty of Arts and Science
China Institute of Metrology
Hangzhou
China 
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Abstract:
      By means of the tools of K-functional, moduli of smoothness and the partition motheds of function, the rate of approximation of multivarviate Durrmeyer defined on the simplex for continuity function is estimated, and Berens ,H. et al's works is perfected.
Citation:
DOI:10.3770/j.issn:1000-341X.2002.01.020
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