Approximation by Lupaṣ–Kantorovich Operators

  • Vijay Gupta
  • Themistocles M. RassiasEmail author
  • Deepika Agrawal
Part of the Springer Optimization and Its Applications book series (SOIA, volume 131)


The present article deals with the approximation properties of certain Lupaṣ-Kantorovich operators preserving ex. We obtain uniform convergence estimates which also include an asymptotic formula in quantitative sense. In the end, we provide the estimates for another modification of such operators, which preserve the function e−2x.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Vijay Gupta
    • 1
  • Themistocles M. Rassias
    • 2
    Email author
  • Deepika Agrawal
    • 1
  1. 1.Department of MathematicsNetaji Subhas Institute of TechnologyNew DelhiIndia
  2. 2.Department of MathematicsNational Technical University of AthensAthensGreece

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