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On a Class of Norlund Matrices

✍ Scribed by L. L. Silverman and O. Szasz

Book ID: 120597570
Publisher: John Hopkins University Press
Year: 1944
Tongue: English
Weight: 632 KB
Volume: 45
Category: Article
ISSN: 0003-486X
DOI: 10.2307/1969271

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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

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