lp-Norms of Some Generalized Hausdorff Matrices
Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 500-504
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In a recent paper D. Borwein [Math. Z. 183(1983), 483- 487] obtained an upper bound for the lp -norms of some generalized Hausdorff matrices, where the sequence (λn ) satisfies the condition λn+1 ≦ λn + c, for some positive c. In this paper we obtained the lp -norms of these generalized Hausdorff matrices for which the mass functions are totally monotone.
Rhoades, B. E. lp-Norms of Some Generalized Hausdorff Matrices. Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 500-504. doi: 10.4153/CMB-1989-074-9
@article{10_4153_CMB_1989_074_9,
author = {Rhoades, B. E.},
title = {lp-Norms of {Some} {Generalized} {Hausdorff} {Matrices}},
journal = {Canadian mathematical bulletin},
pages = {500--504},
year = {1989},
volume = {32},
number = {4},
doi = {10.4153/CMB-1989-074-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-074-9/}
}
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