通过2赋范空间中序列的广义Nörlund均值的Tauberian定理

IF 0.3 Q4 MATHEMATICS Annales Mathematicae et Informaticae Pub Date : 2022-01-01 DOI:10.33039/ami.2022.07.001

Valdete Loku

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引用次数: 0

摘要

．在本文中，我们将证明在2赋范空间𝑋中序列(≥𝑛)的常收敛性的Tauberian条件，该条件由𝑇𝑝，𝑞𝑛-可和性推导而来。事实上，我们给出了这种可和性方法的一个充分必要条件。并证明了这些可和性方法的Tauberian定理在schmidt型慢振荡条件和hardy型“大O”条件下成立。

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Tauberian theorems via the generalized Nörlund mean for sequences in 2-normed spaces

. In this paper, we will show Tauberian conditions under which ordinary convergence of the sequence ( 𝑥 𝑛 ) in 2-normed space 𝑋 , follows from 𝑇 𝑝,𝑞𝑛 -summability. In fact we give a necessary and sufficient Tauberian condition for this method of summability. Also, we prove that Tauberian Theorems for these summability methods are valid with Schmidt-type slowly oscillating condition as well as with Hardy-type “big O” condition.

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Annales Mathematicae et Informaticae MATHEMATICS-

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0.90

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