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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 4

Asymptotic equivalence of double sequences

F. Richard PATTERSON
Ekrem SAVAS
Sayfa
487–497
Yayın Tarihi
2022-10-18
DOI
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Using this notion necessary and sufficient conditions on the entries of a four-dimensional matrix are given to ensure that the transformation will preserve asymptotic equivalence.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The goal of this paper is to present a four-dimensional matrix char- acterization of asymptotic equivalence of double sequences.
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Temel Bulgular & Veri:Two double sequences are asymptotic equivalent if and only if P − $lim_{k,l}frac{x_k,l}{y_k,l}$ = 1, where x and y are selected judicially.
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Sonuç & Katkı:Using this notion necessary and sufficient conditions on the entries of a four-dimensional matrix are given to ensure that the transformation will preserve asymptotic equivalence.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

The goal of this paper is to present a four-dimensional matrix char- acterization of asymptotic equivalence of double sequences. This will be accomplished with the following notion of asymptotic equivalence of double sequences. Two double sequences are asymptotic equivalent if and only if P − $lim_{k,l}frac{x_k,l}{y_k,l}$ = 1, where x and y are selected judicially. Using this notion necessary and sufficient conditions on the entries of a four-dimensional matrix are given to ensure that the transformation will preserve asymptotic equivalence.

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Bu Makaleye Atıf Yap

PATTERSON, F. R., SAVAS, E. (2022). Asymptotic equivalence of double sequences. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 4, 487–497. https://ajindex.com/articles/530499

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Kaynakça (11)

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