Hardy-type inequalities for Hardy sequences

The objective of this talk is to present three new Hardy-type inequalities in which the arithmetic mean over a sequence of nonnegative real numbers is replaced by some weighted arithmetic mean over some nested subsets of the given sequence of numbers. One of these inequalities stems from a calculation in a recent paper on semi-infinite matrices of Bouthat and Mashreghi.

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Publication Details

Journal
R-libre (Université Téluq)
Published
2025-06-01
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

Hardy-type inequalities for Hardy sequences

Frédéric Morneau-Guérin, L. Oubbi, Ludovick Bouthat
R-libre (Université Téluq)
Approximation Theory and Sequence Spaces
article

Hardy-type inequalities for Hardy sequences

Frédéric Morneau-Guérin, L. Oubbi, Ludovick Bouthat
article en

Abstract

The objective of this talk is to present three new Hardy-type inequalities in which the arithmetic mean over a sequence of nonnegative real numbers is replaced by some weighted arithmetic mean over some nested subsets of the given sequence of numbers. One of these inequalities stems from a calculation in a recent paper on semi-infinite matrices of Bouthat and Mashreghi.

R-libre (Université Téluq)
Reduced inequalities
Openalex Percentile: Top 17%
Approximation Theory and Sequence Spaces
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Hardy-type inequalities for Hardy sequences — Frédéric Morneau-Guérin, L. Oubbi, et al. · R-libre (Université Téluq) (2025) | TGRS Research Map | TGRS