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| 2. |
- Abramovich, Shoshana, et al.
(författare)
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General inequalities via isotonic subadditive functionals
- 2007
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 10:1, s. 15-28
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Tidskriftsartikel (refereegranskat)abstract
- In this manuscript a number of general inequalities for isotonic subadditive functionals on a set of positive mappings are proved and applied. In particular, it is pointed out that these inequalities both unify and generalize some general forms of the Holder, Popoviciu, Minkowski, Bellman and Power mean inequalities. Also some refinements of some of these results are proved.
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| 3. |
- Abramovich, Shoshana, et al.
(författare)
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Some new Hermite-Hadamard and Fejer type inequalities without convexity/concavity
- 2020
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Ingår i: Mathematical Inequalities & Applications. - : Element. - 1331-4343 .- 1848-9966. ; 23:2, s. 447-458
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Tidskriftsartikel (refereegranskat)abstract
- In this paper we discuss the Hermite-Hadamard and Fejer inequalities vis-a-vis the convexity concept. In particular, we derive some new theorems and examples where Hermite-Hadamard and Fejer type inequalities are satisfied without the assumptions of convexity or concavity on the actual interval [a,b]
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| 4. |
- 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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| 5. |
- Kanjilal, Saikat, et al.
(författare)
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Equivalent Integral Conditions Related to Bilinear Hardy-type Inequalities
- 2019
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Ingår i: Mathematical Inequalities & Applications. - : Element. - 1331-4343 .- 1848-9966. ; 22:4, s. 1535-1548
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Tidskriftsartikel (refereegranskat)abstract
- Infinitely many, even scales of, equivalent conditions are derived to characterize the bilinear Hardy-type inequality under various ranges of parameters.
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| 6. |
- Persson, Lars-Erik, et al.
(författare)
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Some scales of equivalent weight characterizations of Hardy´s inequality: the case q < p
- 2007
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 10:2, s. 267-279
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Tidskriftsartikel (refereegranskat)abstract
- We consider the weighted Hardy inequality 1/q 1/p q ∞ ∞ x f p (x)v(x)dx f (t)dt u(x)dx C 0 0 0for the case 0 < q < p < ∞, p > 1 . The weights u(x) and v(x) for which this inequalityholds for all f (x) 0 may be characterized by the Mazya-Rosin or by the Persson-Stepanovconditions. In this paper, we show that these conditions are not unique and can be supplementedby some continuous scales of conditions and we prove their equivalence. The results for the dualoperator which do not follow by duality when 0 < q < 1 are also given.
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| 7. |
- Persson, Lars-Erik, et al.
(författare)
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Weighted inequalities of Hardy type for matrix operators: The case q
- 2007
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 10:4, s. 843-861
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Tidskriftsartikel (refereegranskat)abstract
- A non-negative triangular matrix operator is considered in weighted Lebesgue spaces ofsequences. Under some additional conditions on the matrix, some new weight characterizationsfor discrete Hardy type inequalities with matrix operator are proved for the case 1 < q < p < ∞.Some further results are pointed out.
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| 8. |
- 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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| 9. |
- Mamedov, Farman, et al.
(författare)
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A new fractional order poincare's inequality with weights
- 2020
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Ingår i: Mathematical Inequalities & Applications. - : ELEMENT. - 1331-4343 .- 1848-9966. ; 23:2, s. 611-624
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Tidskriftsartikel (refereegranskat)abstract
- We derive a new Sawyer's type sufficient condition for the fractional order Poincare inequality with weights (integral(Omega) vertical bar f(x) - (f) over bar (v,Omega)vertical bar(q) upsilon(x)dx)1/q <= C (integral integral(Omega x Omega) vertical bar f(x) - f(y)vertical bar(p) omega(x,y)dxdy)1/p to hold in a non-regular domain Omega subset of R-n of finite volume, where omega(x,y) = vertical bar x - y vertical bar(-n-alpha P) omega(0)(x,y), 0 < alpha < 1, q >= p > 1, f is an element of C(Omega), and v(.), omega(.,.) are positive measurable functions such that omega(1-p')(x,.)v(p')(.) is an element of L(Omega) a.e. x is an element of Omega and (f) over bar (v,Omega) = 1/upsilon(Omega) integral(Omega) fvdx.
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| 10. |
- Omarbayeva, B.K., et al.
(författare)
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Weighted iterated discrete Hardy-type inequalities
- 2020
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Ingår i: Mathematical Inequalities & Applications. - : Element D.O.O.. - 1331-4343 .- 1848-9966. ; 23:3, s. 943-959
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Tidskriftsartikel (refereegranskat)abstract
- Necessary and sufficient conditions on functions u and omega are established ensuring boundedness of a discrete Hardy-type operator from a weighted sequence space l(p,u) to a weighted sequence space for a wide range of the numerical parameters p,u and theta.
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