| 1. |
- Jain, Pankaj, et al.
(författare)
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Carleman-Knopp type inequalities via Hardy inequalities
- 2001
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 4:3, s. 343-355
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Tidskriftsartikel (refereegranskat)abstract
- Some new Carleman-Knopp type inequalities are proved as "end point" inequalities of modern forms of Hardy's inequalities. Both finite and infinite intervals are considered and both the cases p q and q < p are investigated. The obtained results are compared with similar results in the literature and the sharpness of the constants is discussed for the power weight case. Moreover, some reversed Carleman-Knopp inequalities are derived and applied.
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| 2. |
- 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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| 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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| 4. |
- Peric, Ivan, et al.
(författare)
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Sharp integral inequalities for C-monotone functions of several variables
- 2000
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 3:1, s. 51-62
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Tidskriftsartikel (refereegranskat)abstract
- Some sharp integral inequalities for C-monotone functions of several variables are proved. All cases of equality are found and some related results are pointed out and discussed.
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