On Relationships Between Norlund Means for Double Series

1954 ◽  
Vol 5 (6) ◽  
pp. 957
Author(s):  
Charles N. Moore
Keyword(s):  
Double Series ◽  
Nörlund Means

Nörlund Means and Almost Convergence

1978 ◽  
Vol s2-17 (2) ◽  
pp. 317-320
Author(s):  
I. J. Maddox
Keyword(s):  
Almost Convergence ◽  
Nörlund Means

On functional Nörlund methods

1970 ◽  
Vol 67 (1) ◽  
pp. 47-60 ◽  
Author(s):  
B. Choudhary
Keyword(s):  
The Other ◽  
Integral Transformations ◽  
Other Hand ◽  
Nörlund Means ◽  
The One ◽  
Image Position

Integral transformations analogous to the Nörlund means have been introduced and investigated by Kuttner, Knopp and Vanderburg(6), (5), (4). It is known that with any regular Nörlund mean (N, p) there is associated a functionregular for |z| < 1, and if we have two Nörlund means (N, p) and (N, r), where (N, pr is regular, while the function is regular for |z| ≤ 1 and different) from zero at z = 1, then q(z) = r(z)p(z) belongs to a regular Nörlund mean (N, q). Concerning Nörlund means Peyerimhoff(7) and Miesner (3) have recently obtained the relation between the convergence fields of the Nörlund means (N, p) and (N, r) on the one hand and the convergence field of the Nörlund mean (N, q) on the other hand.

On the Convergence of Alternating Double Series

1953 ◽  
Vol 60 (6) ◽  
pp. 402 ◽  
Author(s):  
Burnett Meyer
Keyword(s):  
Double Series

Hilbert's Double Series Theorem and Principal Latent Roots of the Resulting Matrix

1949 ◽  
Vol 3 (26) ◽  
pp. 399
Author(s):  
R. A. Fairthorne ◽  
J. C. P. Miller
Keyword(s):  
Double Series ◽  
Latent Roots
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