| 1. |
- Abramovich, Shoshana, et al.
(författare)
-
General inequalities via isotonic subadditive functionals
- 2007
-
Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 10:1, s. 15-28
-
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.
|
|
| 2. |
- Abramovich, Shoshana, et al.
(författare)
-
Some new refined Hardy type inequalities with general kernels and measures
- 2010
-
Ingår i: Aequationes Mathematicae. - : Springer Science and Business Media LLC. - 0001-9054 .- 1420-8903. ; 79:1-2, s. 157-172
-
Tidskriftsartikel (refereegranskat)abstract
- We state and prove some new refined Hardy type inequalities using the notation of superquadratic and subquadratic functions with an integral operator Ak defined by, where k: Ω1 × Ω2 is a general nonnegative kernel, (Ω1, μ1) and (Ω2, μ2) are measure spaces and,. The relations to other results of this type are discussed and, in particular, some new integral identities of independent interest are obtained.
|
|
| 3. |
- Barza, Sorina, et al.
(författare)
-
Carlson type inequalities
- 1998
-
Ingår i: Journal of inequalities and applications. - 1025-5834 .- 1029-242X. ; 2:2, s. 121-135
-
Tidskriftsartikel (refereegranskat)abstract
- A scale of Carlson type inequalities are proved and the best constants are found. Some multidimensional versions of these inequalities are also proved and it is pointed out that also a well-known inequality by Beurling-Kjellberg is included as an endpoint case.
|
|
| 4. |
- Barza, Sorina, et al.
(författare)
-
Reversed Hölder type inequalities for monotone functions of several variables
- 1997
-
Ingår i: Mathematische Nachrichten. - : Wiley. - 0025-584X .- 1522-2616. ; 186:67-80, s. 67-80
-
Tidskriftsartikel (refereegranskat)abstract
- Some reversed Hölder type inequalities yielding for monotone or quasimonotone functions of one variable have recently been obtained and applied (see e.g. [1], [2], [3], [5], [9], [12], [14], [17]). In this paper some inequalities of this type are proved for the more general case with n functions of m variables (m, n ∈ ℤ+). Some of these results seem to be new also for the case n = 1 or m = 1.
|
|
| 5. |
- Barza, Sorina, et al.
(författare)
-
Sharp multidimensional multiplicative inequalities for weighted Lp spaces with homogeneous weights
- 1998
-
Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 1:1, s. 53-67
-
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.
|
|
| 6. |
- Cizmesija, Alexandra, et al.
(författare)
-
On strengthened Hardy and Pólya–Knopp's inequalities
- 2003
-
Ingår i: Journal of Approximation Theory. - : Elsevier BV. - 0021-9045 .- 1096-0430. ; 125:1, s. 74-84
-
Tidskriftsartikel (refereegranskat)abstract
- In this paper we prove a strengthened general inequality of the Hardy–Knopp type and also derive its dual inequality. Furthermore, we apply the obtained results to unify the strengthened classical Hardy and Pólya–Knopp's inequalities deriving them as special cases of the obtained general relations. We discuss Pólya–Knopp's inequality, compare it with Levin–Cochran–Lee's inequalities and point out that these results are mutually equivalent. Finally, we also point out a reversed Pólya–Knopp type inequality.
|
|
| 7. |
- Cizmesija, Alexandra, et al.
(författare)
-
On strengthened weighted Carleman´s inequality
- 2003
-
Ingår i: Bulletin of the Australian Mathematical Society. - 0004-9727 .- 1755-1633. ; 68:3, s. 481-490
-
Tidskriftsartikel (refereegranskat)abstract
- In this paper we prove a new refinement of the weighted arithmetic-geometric mean inequality and apply this result in obtaining a sharpened version of the weighted Carleman's inequality
|
|
| 8. |
- Culjak, Vera, et al.
(författare)
-
A generalized Simpson, Trapetsoid and Ostrowski type inequality for convex functions
- 2005
-
Ingår i: Soochow Journal of Mathematics. - 0250-3255. ; 31:4, s. 617-627
-
Tidskriftsartikel (refereegranskat)abstract
- In this paper, the authors prove a new generalization and unification of some recent generalizations of Simpson, trapezoid and Ostrowski type inequalities for convex functions. Both the case with the usual canonical partition and the case with the generalized partition are considered
|
|
| 9. |
- Culjak, Vera, et al.
(författare)
-
A note on Simpson type numerical integration
- 2003
-
Ingår i: Soochow Journal of Mathematics. - 0250-3255. ; 29:2, s. 191-200
-
Tidskriftsartikel (refereegranskat)abstract
- Some new results concerning Simpson type numerical integration are proved, discussed and compared with other similar results in the literature. A technique to improve the error estimates also in some other recent related results is pointed out
|
|
| 10. |
- Dragomir, S. S., et al.
(författare)
-
Some inequalities of Hadamard type
- 1995
-
Ingår i: Soochow Journal of Mathematics. - 0250-3255. ; 21:3, s. 335-341
-
Tidskriftsartikel (refereegranskat)
|
|
