| 1. |
- Abramovic, Shoshana, et al.
(författare)
-
Fejer and Hermite–Hadamard Type Inequalitiesfor N-Quasiconvex Functions
- 2017
-
Ingår i: Mathematical notes of the Academy of Sciences of the USSR. - : Maik Nauka-Interperiodica Publishing. - 0001-4346 .- 1573-8876. ; 102:5-6, s. 599-609
-
Tidskriftsartikel (refereegranskat)abstract
- Some new extensions and refinements of Hermite–Hadamard and Fejer type inequali-ties for functions which are N-quasiconvex are derived and discussed.
|
|
| 2. |
- Astashin, S. V., et al.
(författare)
-
On interpolation in Lp spaces
- 2003
-
Ingår i: Mathematical notes of the Academy of Sciences of the USSR. - 0001-4346 .- 1573-8876. ; 74:5-6, s. 734-739
-
Tidskriftsartikel (refereegranskat)
|
|
| 3. |
- Astashkin, S., et al.
(författare)
-
On interpolation in Lp-spaces
- 2003
-
Ingår i: Mathematical notes of the Academy of Sciences of the USSR. - : Steklov Mathematical Institute. - 0001-4346 .- 1573-8876. ; 74:5, s. 782-786
-
Tidskriftsartikel (refereegranskat)
|
|
| 4. |
|
|
| 5. |
- Kozlov, K.L., et al.
(författare)
-
On G-compactifications
- 2005
-
Ingår i: Mathematical notes of the Academy of Sciences of the USSR. - : Springer Science and Business Media LLC. - 0001-4346 .- 1573-8876. ; 78:5-6, s. 649-661
-
Tidskriftsartikel (refereegranskat)abstract
- The semilattice of G-compactifications of a G-Tikhonov space X is studied. The question of what sets containing X and contained in the maximal G-compactification ß G X must be contained also in all other G-compactifications of X is considered. Conditions for ß G X to be the completion of the G-space X with respect to a natural uniformity (proximity) on X are obtained. Sufficient conditions for the existence of a smallest (minimal, unique) G-compactification of X are given. © 2005 Springer Science+Business Media, Inc.
|
|
| 6. |
- Nursultanov, Medet, 1990
(författare)
-
Spectral properties of the Schrodinger operator with delta-distribution
- 2016
-
Ingår i: Mathematical Notes of the Academy of Sciences of the USSR. - : Pleiades Publishing Ltd. - 0001-4346 .- 1573-8876. ; 100:1-2, s. 263-275
-
Tidskriftsartikel (refereegranskat)abstract
- For the one-dimensional Schrodinger operator with delta-interactions, two-sided estimates of the distribution function of the eigenvalues and a criterion for the discreteness of the spectrum in terms of the Otelbaev function are obtained. A criterion for the resolvent of the Schrodinger operator to belong to the class S (p) is established.
|
|
| 7. |
|
|
| 8. |
- Tkachev, Vladimir
(författare)
-
A theorem on the clearance radius for minimal surfaces
- 1996
-
Ingår i: Mathematical notes of the Academy of Sciences of the USSR. - : Springer Berlin/Heidelberg. - 0001-4346 .- 1573-8876. ; 59:5-6, s. 657-660
-
Tidskriftsartikel (refereegranskat)abstract
- A least upper bound for the inner radius of an opening in a complete minimal hypersurface contained in a parallel layer is given.
|
|
| 9. |
|
|
| 10. |
- Hedström, Anna Karin, et al.
(författare)
-
The interaction between smoking and HLA genes in multiple sclerosis : replication and refinement
- 2017
-
Ingår i: European Journal of Epidemiology. - : Springer Science and Business Media LLC. - 0393-2990 .- 1573-7284. ; 23:1, s. 37-37
-
Tidskriftsartikel (refereegranskat)abstract
- Interactions between environment and genetics may contribute to multiple sclerosis (MS) development. We investigated whether the previously observed interaction between smoking and HLA genotype in the Swedish population could be replicated, refined and extended to include other populations. We used six independent case-control studies from five different countries (Sweden, Denmark, Norway, Serbia, United States). A pooled analysis was performed for replication of previous observations (7190 cases, 8876 controls). Refined detailed analyses were carried out by combining the genetically similar populations from the Nordic studies (6265 cases, 8401 controls). In both the pooled analyses and in the combined Nordic material, interactions were observed between HLA-DRB*15 and absence of HLA-A*02 and between smoking and each of the genetic risk factors. Two way interactions were observed between each combination of the three variables, invariant over categories of the third. Further, there was also a three way interaction between the risk factors. The difference in MS risk between the extremes was considerable; smokers carrying HLA-DRB1*15 and lacking HLA-A*02 had a 13-fold increased risk compared with never smokers without these genetic risk factors (OR 12.7, 95% CI 10.8-14.9). The risk of MS associated with HLA genotypes is strongly influenced by smoking status and vice versa. Since the function of HLA molecules is to present peptide antigens to T cells, the demonstrated interactions strongly suggest that smoking alters MS risk through actions on adaptive immunity.
|
|
