Direct Theorems on Methods of Summability II

Author:

Lorentz G. G.

Abstract

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

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 21 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Statistical gap Tauberian theorems in metric spaces;Journal of Mathematical Analysis and Applications;2003-06

2. Tauberian Theorems via Statistical Convergence;Journal of Mathematical Analysis and Applications;1998-12

3. Borel and Banach Properties of Methods of Summation;Mathematics from Leningrad to Austin;1997

4. Tauberian theorems for absolute summability;Mathematics from Leningrad to Austin;1997

5. Riesz Methods of Summation and Orthogonal Series;Mathematics from Leningrad to Austin;1997

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