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- W2060042017 abstract "In this note, we prove: if (xij) is an m×n matrix with non-negative real entries, which are not all equal to 0, then for p⩾1, the following inequality holds:mp−1+np−1(mn)p−1+min(mp−1,np−1)⩽mp−1∑i=1m(∑j=1nxij)p+np−1∑j=1n(∑i=1mxij)p(∑i=1m∑j=1nxij)p+(mn)p−1∑i=1m∑j=1nxijp.The case p=2 of our result reduces to the inequality obtained recently by H. Alzer [Linear Algebra Appl. 323 (2001) 195]." @default.
- W2060042017 created "2016-06-24" @default.
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- W2060042017 date "2002-06-01" @default.
- W2060042017 modified "2023-09-25" @default.
- W2060042017 title "A matrix inequality" @default.
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- W2060042017 doi "https://doi.org/10.1016/s0024-3795(01)00587-0" @default.
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