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Träfflista för sökning "AMNE:(NATURAL SCIENCES Mathematics Mathematical Analysis) ;pers:(Persson Lars Erik)"

Sökning: AMNE:(NATURAL SCIENCES Mathematics Mathematical Analysis) > Persson Lars Erik

  • Resultat 1-10 av 399
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2.
  • 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.
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3.
  • Almqvist, Andreas, et al. (författare)
  • Homogenization of the unstationary incompressible Reynolds equation
  • 2007
  • Ingår i: Tribology International. - : Elsevier BV. - 0301-679X .- 1879-2464. ; 40:9, s. 1344-1350
  • Tidskriftsartikel (refereegranskat)abstract
    • This paper is devoted to the effects of surface roughness during hydrodynamic lubrication. In the numerical analysis a very fine mesh is needed to resolve the surface roughness, suggesting some type of averaging. A rigorous way to do this is to use the general theory of homogenization. In most works about the influence of surface roughness, it is assumed that only the stationary surface is rough. This means that the governing Reynolds type equation does not involve time. However, recently, homogenization was successfully applied to analyze a situation where both surfaces are rough and the lubricant is assumed to have constant bulk modulus. In this paper we will consider a case where both surfaces are assumed to be rough, but the lubricant is incompressible. It is also clearly demonstrated, in this case that homogenization is an efficient approach. Moreover, several numerical results are presented and compared with those corresponding to where a constant bulk modulus is assumed to govern the lubricant compressibility. In particular, the result shows a significant difference in the asymptotic behavior between the incompressible case and that with constant bulk modulus.
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5.
  • Kufner, Alois, et al. (författare)
  • Generalized weighted inequality with negative powers
  • 2007
  • Ingår i: Journal of Mathematical Inequalities. - : Element d.o.o.. - 1846-579X .- 1848-9575. ; 1:2, s. 269-280
  • Tidskriftsartikel (refereegranskat)abstract
    • In this paper necessary and sufficient conditions for the validity of the generalized Hardy inequality for the case -∞ < q p < 0 and 0 < p q < 1 are derived. Furthermore, some special cases are considered
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7.
  • Oguntuase, James, et al. (författare)
  • Weighted multidimensional Hardy type inequalities via Jensen's inequality
  • 2007
  • Ingår i: Proceedings of A. Razmadze Mathematical Institute. - 1512-0007. ; 144, s. 91-105
  • Tidskriftsartikel (refereegranskat)abstract
    • The authors prove that Jenson's inequality implies some sharp weighted multidimensional Hardy type inequalities. In particular, their results unify and further extend several results of this type in the literature including the recent results in [A. Čižmešija, J. E. Pečarić and L. E. Persson, J. Approx. Theory 125 (2003), no. 1, 74--84; MR2016841 (2004i:42017); S. Kaijser et al., Math. Inequal. Appl. 8 (2005), no. 3, 403--417; MR2148234 (2006c:26036); S. Kaijser, L. E. Persson and A. Öberg, J. Approx. Theory 117 (2002), no. 1, 140--151; MR1920123 (2003f:26037)]. The main result is obtained in Theorem 3.1. In Section 4, the authors show that some existing results are special cases of the theorems obtained in this paper.
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9.
  • Barza, Sorina, et al. (författare)
  • A Sawyer duality principle for radially monotone functions in Rn
  • 2005
  • Ingår i: Journal of Inequalities in Pure and Applied Mathematics. - 1443-5756. ; 6:2
  • Tidskriftsartikel (refereegranskat)abstract
    • Let f be a non-negative function on ℝn, which is radially monotone (0 < f↓ r). For 1 < p < ∞, g ≥ 0 and v a weight function, an equivalent expression for sup ∫ℝ fg/f↓r(∫ℝn fp v)1/p is proved as a generalization of the usual Sawyer duality principle. Some applications involving boundedness of certain integral operators are also given. © 2005 Victoria University
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