Kyungpook Mathematical Journal

  • 제58권4호
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  • Pages.733-746
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  • 2018
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Density by Moduli and Korovkin Type Approximation Theorem of Boyanov and Veselinov

  • Bhardwaj, Vinod K. (Department of Mathematics, Kurukshetra University) ;
  • Dhawan, Shweta (Department of Mathematics, KVA DAV College for Women Karnal-132001)
  • 투고 : 2018.04.04
  • 심사 : 2018.08.13
  • 발행 : 2018.12.23
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초록

The concept of f-statistical convergence which is, in fact, a generalization of statistical convergence, has been introduced recently by Aizpuru et al. (Quaest. Math. 37: 525-530, 2014). The main object of this paper is to prove an f-statistical analog of the classical Korovkin type approximation theorem of Boyanov and Veselinov. It is shown that the f-statistical analog is intermediate between the classical theorem and its statistical analog. As an application, we estimate the rate of f-statistical convergence of the sequence of positive linear operators defined from $C^*[0,{\infty})$ into itself.

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참고문헌

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