Original scientific paper
Equi-ideal convergence of positive linear operators for analytic p-ideals
Fadime Dirik
; Department of Mathematics, Faculty of Sciences and Arts, Sinop University, Sinop, Turkey
Kamil Demirci
; Department of Mathematics, Faculty of Sciences and Arts, Sinop University, Sinop, Turkey
Abstract
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.
Keywords
Equi-ideal convergence; Korovkin-type approximation theorem; Meyer-König and Zeller polynomials; modulus of continuity; Voronovskaya-type theorem
Hrčak ID:
68633
URI
Publication date:
10.6.2011.
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