Approximation by -Lupa��-Schurer-Kantorovich operators.

Kadir Kanat, Melek Sofyal��o��lu
Author Information
  1. Kadir Kanat: Ankara Hac�� Bayram Veli University Polatl�� Faculty of Science and Arts, Ankara, Turkey.
  2. Melek Sofyal��o��lu: Ankara Hac�� Bayram Veli University Polatl�� Faculty of Science and Arts, Ankara, Turkey.

Abstract

In the current paper, we examine the -analogue of Kantorovich type Lupa��-Schurer operators with the help of -Jackson integral. Then, we estimate the rate of convergence for the constructed operators by using the modulus of continuity in terms of a Lipschitz class function and by means of Peetre's K-functionals based on Korovkin theorem. Moreover, we illustrate the approximation of the -Lupa��-Schurer-Kantorovich operators to appointed functions by the help of Matlab algorithm and then show the comparison of the convergence of these operators with Lupa��-Schurer operators based on -integers.

Keywords

References

  1. J Inequal Appl. 2017;2017(1):50 [PMID: 28298874]
  2. J Inequal Appl. 2017;2017(1):284 [PMID: 29213195]
  3. J Inequal Appl. 2018;2018(1):81 [PMID: 29670323]

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