Journal of Function Spaces (Jan 2021)

On Stancu-Type Generalization of Modified p,q-Szász-Mirakjan-Kantorovich Operators

  • Yong-Mo Hu,
  • Wen-Tao Cheng,
  • Chun-Yan Gui,
  • Wen-Hui Zhang

DOI
https://doi.org/10.1155/2021/6683004
Journal volume & issue
Vol. 2021

Abstract

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In the present article, we construct p,q-Szász-Mirakjan-Kantorovich-Stancu operators with three parameters λ,α,β. First, the moments and central moments are estimated. Then, local approximation properties of these operators are established via K-functionals and Steklov mean in means of modulus of continuity. Also, a Voronovskaja-type theorem is presented. Finally, the pointwise estimates, rate of convergence, and weighted approximation of these operators are studied.