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Statistical approximation in multivariate modular function spaces

Belen C., Yildirim M.

Commentationes Mathematicae

2011

Vol. 51, [Z] 1

39-53

In this paper, using the concept of A-statistical convergence we prove a Korovkin type approximation theorem in multivariate modular function spaces. Furthermore, giving an example via bivariate operators of Kantorovich type, it is shown that our theorem is stronger than its classical case.

Korovkin theorem in modular spaces

Bardaro C., Mantellini I.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2007

Vol. 47, [Z] 2

239-253

In this paper we obtain an extension of the classical Korovkin theorem in abstract modular spaces. Applications to some discrete and integral operators are discussed.