Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (4): 641-648.

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Complex Approximation Properties of the Baskakov-Kantorovich Operators in Compact Disks

Li Wenxia1, Qi Qiulan1,2   

  1. 1 College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024;
    2 Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang 050024
  • Received:2017-04-24 Revised:2017-09-29 Online:2018-08-26 Published:2018-08-26
  • Supported by:
    Supported by the NSFC (10571040)

Abstract: In this paper, the approximation properties of the modified Baskakov-Kantorovich operators are studied according to the definition and properties in the complex space. We obtain the approximation order for the modified complex Baskakov-Kantorovich operators attached to entire functions or to analytic functions in compact disks.

Key words: Baskakov-Kantorovich-type operators, Complex approximation, Voronovskajatype results

CLC Number: 

  • O175.41
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