Abstract
The classical Cesaro means of higher order are investigated from the point of view of saturation theory. In this direction the Cesaro means for power bounded operators were studied by Butzer-Westphal [1, 2], and certain appropriate results were given by Lin-Sine [6]. In this paper we prove that the behavior of the Cesaro means of higher order concerning the saturation, are essentially of the same form, under the boundedness condition of Cesaro means. Also, some results of Lin-Sine are extended to Cesaro means of higher order. Mathematics subject classification (2010): Primary 47A10, 47A35; Secondary 47B20.
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