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Upper bounds for E-J matrices |
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PP: 1125-1128 |
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Author(s) |
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F. Aydin Akgun,
B. E. Rhoades,
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Abstract |
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| In a recent paper [5] Lashkaripour and Foroutannia obtained the norm of a Hausdorff matrix, considered as a bounded linear
operator from ℓp(w) to ℓp(v), where ℓp(w) and ℓp(v) are weighted ℓp -spaces, and p 1. As a corollary to this result they obtain a
new proof for a Hausdorff matrix, with nonnegative entries, to be a bounded operator on ℓp for p > 1. In this paper these results are
extended to the Endl- Jakimovski (E-J) generalized Hausdorff matrices. |
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