JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (12): 72-77.doi: 10.6040/j.issn.1671-9352.0.2021.152

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Approximation properties of Lupas-King type operators

WANG Tao   

  1. School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, Shandong, China
  • Published:2021-11-25

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Abstract: The asymptotic approximation properties of Lupas-King operators are studied by means of analysis methods and techniques. This paper studies pointwise approximation properties of Lupas-King operators for functions with locally bounded derivatives by combining with decomposition technique of functions and interval division technique.

Key words: Lupas-King operator, locally bounded function, asymptotic estimate, pointwise approximation

CLC Number: 

  • O174.41
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[1] WANG Tao. Pointwise approximation of Lupas operators to locally bounded functions [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(2): 9-15.
[2] WANG Tao and GENG Hong-ling . Point-wise approximation of Lupas-Bezier operators [J]. J4, 2007, 42(8): 83-85 .
[3] WANG Tao . Pointwise approximation of Post-Gamma operators for functions with locally bounded derivatives [J]. J4, 2007, 42(4): 75-78 .
[4] ZHOU Yunming . Pointwise approximation of generalized lupas-baskakov operators for functions with locally bounded derivatives [J]. J4, 2006, 41(1): 69-73 .
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