Some Higher Order Hardy Inequalities

Permanent link
https://hdl.handle.net/10037/25269
DOI
https://doi.org/10.1186/1029-242X-2012-69
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Date
2012-03-26
Type
Journal article
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Peer reviewed

Author
Kufner, Alois; Kuliev, Komil; Persson, Lars Erik
Abstract
We investigate the k-th order Hardy inequality (1.1) for functions satisfying rather general boundary conditions (1.2), show which of these conditions are admissible and derive sufficient, and necessary and sufficient, conditions (for 0 < q < ∞, p > 1) on u, v for (1.1) to hold.
Publisher
Springer
Citation
Kufner, Kuliev, Persson LE. Some Higher Order Hardy Inequalities. Journal of Inequalities and Applications. 2012
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Copyright 2012 The Author(s)