SUMMATION OF DIVERGENT SERIES FROM THE NONSTANDARD POINT OF VIEW

1995 ◽  
Vol 21 (2) ◽  
pp. 473
Author(s):  
Kanovei ◽  
Reeken
Keyword(s):  
Point Of View ◽  
Divergent Series ◽  
Summation Of Divergent Series

On the Summation of Divergent Series

1865 ◽  
Vol 12 (5) ◽  
pp. 245-252
Author(s):  
A. De Morgan
Keyword(s):  
Divergent Series ◽  
Summation Of Divergent Series

In the last Number I gave the most elementary view I could arrive at of Arbogast's method of development. In the communication following I saw that Mr. Peter Gray had referred to Stirling's theorem; and this suggested that it might be useful to give, by means of common algebra only, an account of the two most important cases of summation of many terms of a divergent series.

Notes on Fourier series (IV): Summability (R2)

1947 ◽  
Vol 43 (1) ◽  
pp. 10-25 ◽  
Author(s):  
G. H. Hardy ◽  
W. W. Rogosinski
Keyword(s):  
Fourier Series ◽  
Divergent Series ◽  
Summation Of Divergent Series ◽  
Image Position

1.1. There are two familiar methods of summation of divergent series usually called the methods (R, 1) and (R, 2). If sn = u0 + u1 + … + un and, as it will be convenient to suppose throughout, u0 = 0, thenwhen h → + 0§: the convergence of the series for small positive h is presupposed.

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