Equi-ideal convergence of positive linear operators for analytic p-ideals

نویسندگان

  • Fadime Dirik
  • Kamil Demirci
چکیده

In this paper, using equi-ideal convergence, we introduce a non-trivial generalization of the classical and the statistical cases of the Korovkin approximation theorem. We also compute the rates of equi-ideal convergence of sequences of positive linear operators. Furthermore, we obtain a Voronovskaya-type theorem in the equi-ideal sense for a sequence of positive linear operators constructed by means of the Meyer-König and Zeller polynomials. AMS subject classifications: 41A25, 41A36

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تاریخ انتشار 2011