Abel-type weighted means transformations into â„“

Mulatu Lemma and George Tessema

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-8

Abstract:

Let q k = ( k + α         k ) for α > − 1 and Q n = ∑ k = 0 n q k . Suppose A q = { a n k } , where a n k = q k / Q n for 0 ≤ k ≤ n and 0 otherwise. A q is called the Abel-type weighted mean matrix. The purpose of this paper is to study these transformations as mappings into ℓ . A necessary and sufficient condition for A q to be ℓ - ℓ is proved. Also some other properties of the A q matrix are investigated.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:823954

DOI: 10.1155/S0161171200003811

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