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Dergiler / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2019 / Cilt: 9 - Sayı: 1

TAUBERIAN THEOREMS FOR THE PRODUCT OF BOREL AND LOGARITHMIC METHODS OF SUMMABILITY

Sefa Anıl SEZER
Sayfa
165–171
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also obtain some classical Tauberian theorems and their generalizations as special cases of our main theorems.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we show that if a sequence is summable by the product method (B)(`, k), then it is also summable by the logarithmic method (`, k), provided two-sided conditions of Hardy-type are satisfied.
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Temel Bulgular & Veri:In this paper, we show that if a sequence is summable by the product method (B)(`, k), then it is also summable by the logarithmic method (`, k), provided two-sided conditions of Hardy-type are satisfied.
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Sonuç & Katkı:We also obtain some classical Tauberian theorems and their generalizations as special cases of our main theorems.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Özet

In this paper, we show that if a sequence is summable by the product method (B)(`, k), then it is also summable by the logarithmic method (`, k), provided two-sided conditions of Hardy-type are satisfied. We also obtain some classical Tauberian theorems and their generalizations as special cases of our main theorems.

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Bu Makaleye Atıf Yap

SEZER, S. A. (2019). TAUBERIAN THEOREMS FOR THE PRODUCT OF BOREL AND LOGARITHMIC METHODS OF SUMMABILITY. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, Cilt: 9 - Sayı: 1, 165–171. https://ajindex.com/articles/341273

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Kaynakça (20)

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