Double summability factor theorems and applications
Mathematical Inequalities and Applications, cilt.10, sa.1, ss.125-149, 2007 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 10 Sayı: 1
- Basım Tarihi: 2007
- Doi Numarası: 10.7153/mia-10-12
- Dergi Adı: Mathematical Inequalities and Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.125-149
- Anahtar Kelimeler: Absolute summability, Cesáro matrix, Summability factor, Weighted mean matrix
- Uşak Üniversitesi Adresli: Hayır
Özet
We obtain sufficient conditions for the series ∑ ∑ amn, which is absolutely summable of order k by a double triangular matrix method A, to be such that ∑ ∑ amnλmn is absolutely summable of order k by a double triangular matrix B. As corollaries we obtain a number of inclusion theorems.