Some exact inequalities of Hardy-Littlewood-Polya type for periodic functions

Laith Emil Azar

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-7

Abstract:

We investigate the following problem: for a given A ≥ 0 , find the infimum of the set of B ≥ 0 such that the inequality ‖ x ( k ) ‖ 2 2 ≤ A ‖ x ( r ) ‖ 2 2 + B ‖ x ‖ 2 2 , for k , r ∈ ℕ ∪ { 0 } , 0 ≤ k < r , holds for all sufficiently smooth functions.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:267321

DOI: 10.1155/S016117120430921X

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