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lp-Norms of Some Generalized Hausdorff Matrices

Published online by Cambridge University Press:  20 November 2018

B. E. Rhoades*
Affiliation:
Department of Mathematics Indiana University Bloomington, Indiana 47405
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Abstract

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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.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1989

References

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