On Matrices of Mazur Type on Rate Spaces

Abstract

Mazur [6] showed that Cesaro metrices of all positive orders are of type M. Later Hill [5] established that under certain conditions the Norlund, Hausdorff and Weighted Mean are of type M. Chandrasekhara Rao proved that the Abel and the Borel methods are also of type M. General properties of methods of type M are discussed in Wilansky's book [8]. The present paper is devoted to matrix methods of type M in respect of rate spaces and related topics.A sequence with n-th term xn is denoted by (xn) or x. Let C denote the set of all complex numbers.