| 1. |
- Kaijser, Sten, et al.
(författare)
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Hardy-type inequalities via convexity
- 2005
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 8:3, s. 403-417
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Tidskriftsartikel (refereegranskat)abstract
- A recently discovered Hardy-Pólya type inequality described by a convex function is considered and further developed both in weighted and unweighted cases. Also some corresponding multidimensional and reversed inequalities are pointed out. In particular, some new multidimensional Hardy and Pólya-Knopp type inequalities and some new integral inequalities with general integral operators (without additional restrictions on the kernel) are derived
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| 2. |
- Maligranda, Lech, et al.
(författare)
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On n-th James and Khintchine constants of Banach spaces
- 2008
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 11:1, s. 1-22
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Tidskriftsartikel (refereegranskat)abstract
- For any Banach space X the n-th James constants J(n)(X) and the n-th Khintchine constants K-p,q(n)(X) are investigated and discussed. Some new properties of these constants are presented. The main result is an estimate of the n-th Khintchine constants K-p,q(n)(X) by the n-th James constants Jn (X). In the case of n = 2 and p = q = 2 this estimate is even stronger and improvs an earlier estimate proved by Kato-Maligranda-Takahashi
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| 3. |
- Nikolova, Ludmila, et al.
(författare)
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Weighted Hardy and Pólya-Knopp inequalities with variable limits
- 2007
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 10:3, s. 547-557
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Tidskriftsartikel (refereegranskat)abstract
- A new scale of characterizations for the weighted Hardy inequality with variable limits is proved for the case 1 < p ≤ q < ∞. A corresponding scale of characterizations for the (limit) weighted Pólya-Knopp inequality is also derived and discussed.
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