Generalized Szász-Kantorovich Type Operators

Authors

  • Arun Kajla Department of Mathematics Central University of Haryana, Haryana 123031
  • Serkan Araci Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, TR-27410 Gaziantep
  • Meenu Goyal School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, Punjab
  • Mehmet Acikgoz Department of Mathematics, Faculty of Science and Arts, Gaziantep University, TR-27310 Gaziantep

DOI:

https://doi.org/10.26713/cma.v10i3.717

Keywords:

Positive approximation process, Rate of convergence, Modulus of continuity, Steklov mean

Abstract

In this note, we present Kantorovich modification of the operators introduced by V. Miheşan [Creative Math. Inf. 17 (2008), 466 – 472]. First, we derive some indispensable auxiliary results in the second section. We present a quantitative Voronovskaja type theorem, local approximation theorem by means of second order modulus of continuity and weighted approximation for these operators. Furthermore, we show the rate of convergence of these operators to certain functions with the help of the illustrations using Maple algorithms.

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References

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Published

30-09-2019
CITATION

How to Cite

Kajla, A., Araci, S., Goyal, M., & Acikgoz, M. (2019). Generalized Szász-Kantorovich Type Operators. Communications in Mathematics and Applications, 10(3), 403–413. https://doi.org/10.26713/cma.v10i3.717

Issue

Vol. 10 No. 3 (2019)

Section

Research Article

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