On a theorem of W. Meyer-König and H. Tietz

İBrahım Çanak, Mehmet Dık and Fılız Dık

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-6

Abstract:

Let ( u n ) be a sequence of real numbers and let L be an additive limitable method with some property. We prove that if the classical control modulo of the oscillatory behavior of ( u n ) belonging to some class of sequences is a Tauberian condition for L , then convergence or subsequential convergence of ( u n ) out of L is recovered depending on the conditions on the general control modulo of the oscillatory behavior of different order.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:351318

DOI: 10.1155/IJMMS.2005.2491

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