On the Summation of Certain Iterated Series
Ovidiu Furdui
Campia Turzii
405100 Cluj
Romania
mailto:ofurdui@yahoo.comofurdui@yahoo.com
Tiberiu Trif
Department of Mathematics
Babes-Bolyai University
Cluj-Napoca
Romania
mailto:ttrif@math.ubbcluj.rottrif@math.ubbcluj.ro
Abstract:
The paper gives a unified treatment of the summation of certain iterated series of the form
where
is a sequence of real numbers. We prove that, under certain conditions, the double iterated series equals the difference of two single series.
where
is a sequence of real numbers. We prove that, under certain conditions, the double iterated series equals the difference of two single series.