Lower bound of four-dimensional Hausdorff matrices
Abstract Let H=(hnmjk) $\mathsf{H}=(h_{nmjk})$ be a non-negative four-dimensional matrix. Denote by Lp(H) $L_{p}(\mathsf{H})$ the supremum of those ℓ satisfying the following inequality: (∑n=0∞∑m=0∞(∑j=0∞∑k=0∞hnmjkxj,k)p)1/p≥ℓ(∑j=0∞∑k=0∞xj,kp)1/p, $$ { \Biggl( {\sum_{n = 0}^{\infty }{\sum _{m = 0}^{...
| Published in: | Journal of Inequalities and Applications |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-03-01
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| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-019-2028-4 |