Equi-ideal convergence of positive linear operators for analytic p-ideals
Copyright policy )Equi-ideal convergence of positive linear operators for analytic p-ideals
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.
Voronovskaya-type theorem, Modulus of continuity, Equi-ideal convergence, modulus of continuity, Korovkin-type approximation theorem, Meyer-König and Zeller polynomials
Voronovskaya-type theorem, Modulus of continuity, Equi-ideal convergence, modulus of continuity, Korovkin-type approximation theorem, Meyer-König and Zeller polynomials
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