| 11. |
- Aljinovic, Andrea Aglic, et al.
(författare)
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Josip Pecaric- and his life in mathematics and politics
- 2019
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Ingår i: Mathematical Inequalities & Applications. - : Element. - 1331-4343 .- 1848-9966. ; 22:4, s. 1067-1080
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Tidskriftsartikel (refereegranskat)abstract
- It is impossible in limited number of pages to give a fair picture of such a remarkable man, great mathematician and human being as Josip Pecaric. Our intention is instead to complement the picture of him in various ways. We hope that our paper will give also someflavor of Josip as family man, fighter, supervisor,international authority, author (also in other subjects than mathematics), fan of the Croatian football team, and not only as his obvious role as our King of Inequalities.
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| 12. |
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| 13. |
- Barza, Sorina, et al.
(författare)
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Sharp multidimensional multiplicative inequalities for weighted Lp spaces with homogeneous weights
- 1998
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 1:1, s. 53-67
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Tidskriftsartikel (refereegranskat)abstract
- Let Ω be an arbitrary cone in IRn with the origin as a vertex. A multidimensional multiplicative inequality for weighted Lp(Ω) -spaces with homogeneous weights is proved. The inequality is sharp and all cases of equality are pointed out. In particular, this inequality may be regarded as a weighted multidimensional extension of previous inequalities of Carlson, Beurling and Leviri.
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| 14. |
- Barza, Sorina, Associate professor, 1967-, et al.
(författare)
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Some Hardy-type inequalities in Banach function spaces
- 2021
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Ingår i: Mathematical Inequalities & Applications. - : Element. - 1331-4343 .- 1848-9966. ; 24:4, s. 1001-1002
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Tidskriftsartikel (refereegranskat)abstract
- Some new inequalities of Hardy-type in Banach function space settings are proved anddiscussed. In particular, these results generalize and unify several classical Hardy-type inequalities. Some results are new also in the classical situation.
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| 15. |
- Guntuase, J. A., et al.
(författare)
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Refinements of Bennett type inequalities
- 2023
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Ingår i: Mathematical Inequalities & Applications. - : ELEMENT. - 1331-4343 .- 1848-9966. ; 26:1, s. 183-193
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Tidskriftsartikel (refereegranskat)abstract
- In this paper we discuss, complement and improve some Bennett type inequalities.In particular, we prove a new refinement of a Bennett type inequality using superquadracity argu-ment.
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| 16. |
- Isac, George, et al.
(författare)
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Inequalities related to isotonicity of projection and antiprojection operators
- 1998
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 1:1, s. 85-97
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Tidskriftsartikel (refereegranskat)abstract
- The metric projection operator is an important tool in numerical analysis, optimization, variational inequalities and complementarity problems and has been considered from the point of view of isotonicity, with respect to an ordering compatible with the vector structure on Hilbert spaces and Banach spaces. In this paper, the authors study some inequalities related to the isotonicity of the metric projection operator onto a closed convex set in an ordered Banach space. The concept of antiprojection operator onto a compact nonempty subset of a Hilbert space is introduced and the relationship between the new inequality obtained by the authors and the isotonicity of such an operator is also discussed.
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| 17. |
- 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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| 18. |
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| 19. |
- Jain, Pankaj, et al.
(författare)
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On products of generalized Orlicz spaces
- 2012
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 15:3, s. 663-674
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Tidskriftsartikel (refereegranskat)abstract
- In the context of generalized Orlicz spaces, the products X-Phi 1 circle dot X-Phi 2 and X-Phi 1 circle times X-Phi 2 are studied and conditions are obtained under which these spaces are contained in a suitable space X-Phi. These imbedding results (inequalities) are in a sense sharp and for the case X = L-1, the conditions are even necessary and sufficient. Moreover, a new Holder type inequality is proved.
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| 20. |
- Johansson, Maria, et al.
(författare)
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Hardy inequality with three measures on monotone functions
- 2008
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 11:3, s. 393-413
-
Tidskriftsartikel (refereegranskat)abstract
- Characterization of Lvp[0, ∞) - L μq[O, ∞) boundedness of the general Hardy operator (Hsf)(x) =(∫[0,x] fsudλ) 1/s restricted to monotone functions f ≥ 0 for 0 < p.q.s < ∞ with positive Borel σ -finite measures λ, μ and v is obtained.
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