A generalization of lacunary equistatistical convergence of positive linear operators. (English) Zbl 1279.41031

Kaya, Yusuf; Gönül, Nazmiye

Abstr. Appl. Anal. 2013, Article ID 514174, 7 p. (2013).

Summary: We consider some analogs of the Korovkin approximation theorem via lacunary equi-statistical convergence. In particular, we study lacunary equi-statistical convergence of approximating operators on \(H_{w_2}\) spaces, the spaces of all real valued continuous functions \(f\) defined on \(K = [0, \infty)^m\) and satisfying some special conditions.

MSC:

41A36	Approximation by positive operators
41A10	Approximation by polynomials

Keywords:

Korovkin approximation theorem; lacunary equi-statistical convergence

References:

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