Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (3): 338-342.

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The Complete Asymptotic Expansion for the Baskakov-Kantorovich Operators 

  

  1. Department of Mathematics, Capital Normal University

  • Received:2006-11-16 Online:2009-09-30 Published:2023-06-26
  • About author: WANG Quan-e(1981- ), female, native of Xinyang, Henan, graduate student of Capital Normal University, engages in approximation theory of function; ZHANG Chun-gou(1962- ), male, native of Yongxin, Jiangxi, an associate professor of Capital Normal University, engages in approximation theory of function.
  • Supported by:
     Supported by the Natural Science Foundation of Beijing(1072006); Supported by NSFC(10871017);

Abstract: In this paper, we derive the Baskakov-Kantorovich operators Vn(f;x) the complete asymptotic expansion in the form of all coefficients of n-kk = 0,1… being calculated explicitly. As a corollary, we also get the Voronovskaja-type result for the operators.

Key words: the Baskakov operators, the Baskakov-Kantorovich operators, complete asymptotic expansion, Stirling numbers

CLC Number: