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Direct Theorems on Methods of Summability II

Published online by Cambridge University Press:  20 November 2018

G. G. Lorentz
G. G. Lorentz*
Affiliation:
The University of Toronto
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1.1. This paper is a continuation of the papers of the author [14], [15]. We begin by recapitulating the main definitions. If {n,} is an increasing sequence of positive integers, the value of the characteristic or the counting function ω(n) of {nv} is, for any , the number of n satisfying the inequality . Suppose that A is a linear method of summation corresponding to the transformation

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 3 , 1951 , pp. 236 - 256
Copyright
Copyright © Canadian Mathematical Society 1951

References

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