A summability factor theorem and applications
Applied Mathematics and Computation, cilt.153, sa.1, ss.155-163, 2004 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 153 Sayı: 1
- Basım Tarihi: 2004
- Doi Numarası: 10.1016/s0096-3003(03)00620-9
- Dergi Adı: Applied Mathematics and Computation
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.155-163
- Anahtar Kelimeler: Absolute summability, Cesáro matrix, Summability factor, Weighted mean matrix
- Uşak Üniversitesi Adresli: Hayır
Özet
We obtain sufficient conditions for the series ∑an, which is absolutely summable of order k by a weighted mean method, to be such that ∑εnan is absolutely summable of order k by a triangular matrix. As corollaries we obtain a number of inclusion theorems. © 2003 Elsevier Inc. All rights reserved.