Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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STATISTICAL CONVERGENCE FOR GENERAL BETA OPERATORS

  • Deo, Naokant (Department of Applied Mathematics Delhi Technological University (Formerly Delhi College of Engineering)) ;
  • Ozarslan, Mehmet Ali (Department of Mathematics Eastern Mediterranean University Faculty of Arts and Sciences) ;
  • Bhardwaj, Neha (Department of Applied Science ABESIT)
  • Received : 2014.07.14
  • Accepted : 2014.12.10
  • Published : 2014.12.30
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Abstract

In this paper, we consider general Beta operators, which is a general sequence of integral type operators including Beta function. We study the King type Beta operators which preserves the third test function $x^2$. We obtain some approximation properties, which include rate of convergence and statistical convergence. Finally, we show how to reach best estimation by these operators.

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References

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