Tauberian conditions for a general limitable method

İbrahim Canak and Ãœmit Totur

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-6

Abstract:

Let ( u n ) be a sequence of real numbers, L an additive limitable method with some property, and and different spaces of sequences related to each other. We prove that if the classical control modulo of the oscillatory behavior of ( u n ) in is a Tauberian condition for L , then the general control modulo of the oscillatory behavior of integer order m of ( u n ) in or is also a Tauberian condition for L .

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:082342

DOI: 10.1155/IJMMS/2006/82342

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