On a New Approach by Modified (p; q)-Szasz-Mirakyan Operators

Mishra, Vishnu Narayan; Devdhara, Ankita R.; Ansari, Khursheed J.; Karateke, Seda

doi:10.28924/2291-8639-19-2021-389

Research Article

On a New Approach by Modified (p; q)-Szasz-Mirakyan Operators

Vishnu Narayan Mishra
Ankita R. Devdhara
Khursheed J. Ansari
Seda Karateke¹*

Istanbul Arel University

* Corresponding author

Abstract

In this paper, we introduce a new type of (p; q) exponential function with some properties and a modified (p; q)-Szasz-Mirakyan operators by virtue of this function by investigating approximation properties. We obtain moments of generalized (p; q)-Szasz-Mirakyan operators. Furthermore, we derive direct results, rate of convergence, weighted approximation result, statistical convergence and Voronovskaya type result of these operators with numerical examples. Graphical representations reveal that modified (p; q)-Szasz-Mirakyan operators have a better approximation to continuous functions than pioneer one.

How to Cite

V. N. Mishra, A. R. Devdhara, K. J. Ansari, S. Karateke, On a New Approach by Modified (p; q)-Szasz-Mirakyan Operators, Int. J. Anal. Appl. 19 (2021), 389–404. https://doi.org/10.28924/2291-8639-19-2021-389

BibTeX

@article{Mishra2021,
  author  = {Mishra, Vishnu Narayan and Devdhara, Ankita R. and Ansari, Khursheed J. and Karateke, Seda},
  title   = {On a New Approach by Modified (p; q)-Szasz-Mirakyan Operators},
  journal = {Int. J. Anal. Appl.},
  volume  = {19},
  year    = {2021},
  pages   = {389--404},
  doi     = {10.28924/2291-8639-19-2021-389}
}

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