Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON STANCU TYPE GENERALIZATION OF (p, q)-SZÁSZ-MIRAKYAN KANTOROVICH TYPE OPERATORS

  • MISHRA, VISHNU NARAYAN (Department of Mathematics, Indira Gandhi National Tribal University) ;
  • DEVDHARA, ANKITA R (Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology)
  • Received : 2017.09.13
  • Accepted : 2018.03.26
  • Published : 2018.05.30
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Abstract

In this article, we present the Stancu generalization of (p, q)-$Sz{\acute{a}}sz$-Mirakyan Kantorovich type linear positive operators. Using Korovkin's result, approximation properties are investigated. First, we evaluate moments and direct results. By choosing p and q, the convergence rate have been estimated for better approximation. For the particular case ${\alpha}=0$, ${\beta}=0$ we obtain results for (p, q)-$Sz{\acute{a}}sz$-Mirakyan Kantorovich type operators.

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References

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