necessary and sufficient conditions under which convergence follows from summability by weighted means

Clicks: 134
ID: 231598
2001
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Abstract
We prove necessary and sufficient Tauberian conditions for sequences summable by weighted mean methods. The main results of this paper apply to all weighted mean methods and unify the results known in the literature for particular methods. Among others, the conditions in our theorems are easy consequences of the slowly decreasing condition for real numbers, or slowly oscillating condition for complex numbers. Therefore, practically all classical (one-sided as well as two-sided) Tauberian conditions for weighted mean methods are corollaries of our two main theorems.
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mricz2001internationalnecessary Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Ferenc Móricz;Ulrich Stadtmüller
Journal structural engineering and mechanics
Year 2001
DOI
10.1155/S0161171201006688
URL
http://dx.doi.org/10.1155/S0161171201006688
Keywords
mathematics

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