Research article

Approximation properties of modified (p, q)-Szász-Mirakyan-Kantorovich operators

  • Received: 21 March 2020 Accepted: 09 May 2020 Published: 05 June 2020
  • MSC : 41A10, 41A25, 41A36

  • In this paper, we introduce a new kind of modified (p, q)-Szász-Mirakyan-Kantorovich operators based on (p, q)-calculus. Next, the moments computation formulas, the second and fourth order central moments computation formulas and other quantitative properties are investigated. Then, the approximation properties including local approximation, weighted approximation, rate of convergence and Voronovskaja type theorem are obtained. Finally, we generalize the operators by adding a parameter λ.

    Citation: Zhongbin Zheng, Jinwu Fang, Wentao Cheng, Zhidong Guo, Xiaoling Zhou. Approximation properties of modified (p, q)-Szász-Mirakyan-Kantorovich operators[J]. AIMS Mathematics, 2020, 5(5): 4959-4973. doi: 10.3934/math.2020317

    Related Papers:

  • In this paper, we introduce a new kind of modified (p, q)-Szász-Mirakyan-Kantorovich operators based on (p, q)-calculus. Next, the moments computation formulas, the second and fourth order central moments computation formulas and other quantitative properties are investigated. Then, the approximation properties including local approximation, weighted approximation, rate of convergence and Voronovskaja type theorem are obtained. Finally, we generalize the operators by adding a parameter λ.


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