A kind of sharp Wirtinger inequality
Abstract In this study, we give a kind of sharp Wirtinger inequality ∥f∥p≤Cr,p,q∥f(r)∥qfor all 1≤p,q≤∞, $$ \Vert f \Vert _{p}\le C_{r,p,q} \bigl\Vert f^{(r)} \bigr\Vert _{q} \quad \text{for all } 1\le p,q\le \infty , $$ where f is defined on [0,1] $[0,1]$ and satisfies f(k1)(0)=f(k2)(0)=⋯=f(ks)(0)=f...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-06-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-019-2121-8 |