Dirik, FadimeDemirci, Kamil2014-08-112014-08-112011Dirik, F., Demirci, K. "Equi-ideal convergence of positive linear operators for analytic p-ideals". Mathematical Communications. 16(2011), 169-178.https://hdl.handle.net/11486/261In this paper, using equi-ideal convergence, we introduce a non-trivial gener-alization 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 oper-ators. 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, 41A36enEqui-ideal convergenceKorovkin-type approximation theoremMeyer-König and Zeller polynomialsModulus of continuityVoronovskaya-type theoremArticle2-s2.0-79959466875WOS:000291427800016