Izvorni znanstveni članak

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

Sažetak

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.

Ključne riječi

Equi-ideal convergence; Korovkin-type approximation theorem; Meyer-König and Zeller polynomials; modulus of continuity; Voronovskaya-type theorem

Hrčak ID:

68633

URI

https://hrcak.srce.hr/68633

Datum izdavanja:

10.6.2011.

Posjeta: 1.325 *