The Relations Between Borel's and Cesàro's Methods of Summation
The Relations Between Borel's and Cesàro's Methods of Summation
In these general explanations (as in the phrase " Theory of Divergent Series") it is convenient to use divergent as meaning simply non-convergent.In detailed work it is essential to distinguish between divergent and oscillatory series.+ Hardy, Proc.London Math.Soc, Ser. 2, Vol.8, p. 301; Littlewood, ibid., Vol. 9, p. 434.The results …