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Lower bounds of Copson type for weighted mean matrices and Nörlund matrices

✍ Scribed by Chen, Chang-Pao; Wang, Kuo-Zhong

Book ID
120521337
Publisher
Taylor and Francis Group
Year
2010
Tongue
English
Weight
167 KB
Volume
58
Category
Article
ISSN
0308-1087

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Lower bounds of Copson type for Nörlund
Lower bounds of Copson type for Nörlund matrices
✍ Chang-Pao Chen; Meng-Kuang Kuo; Kuo-Zhong Wang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 153 KB

Let A = (a n,k ) n,k 0 be a non-negative matrix. Denote by L p,q (A) the supremum of those L satisfying AX q L X p (X ∈ p , X 0), and define L (p),q (A) = L p,q (A) (p > 0). We derive a range for the value of L p,q (A NM W ), where 0 < q p < 1 and A NM W denotes the Nörlund matrix associated with th