Gronwall summation method
From Encyclopedia of Mathematics
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A method for summing series of numbers or functions, defined by specifying two functions and satisfying certain conditions. A series can be summed by the Gronwall method to a sum if
where , is defined by the expansion
The method was introduced by T.H. Gronwall [1] as a generalization of the de la Vallée-Poussin summation method, to which it is converted by
If
then the Gronwall summation method becomes one of the Cesàro summation methods.
References
[1] | T.H. Gronwall, "Summation of series and conformal mapping" Ann. of Math. , 33 : 1 (1932) pp. 101–117 |
How to Cite This Entry:
Gronwall summation method. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Gronwall_summation_method&oldid=12127
Gronwall summation method. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Gronwall_summation_method&oldid=12127
This article was adapted from an original article by I.I. Volkov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article