| 1. |
- Barza, Sorina, et al.
(författare)
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A Sawyer duality principle for radially monotone functions in Rn
- 2005
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Ingår i: Journal of Inequalities in Pure and Applied Mathematics. - Victoria University School of Computer Sciences and Mathematics. - 1443-5756. ; 6:2
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Tidskriftsartikel (övrigt vetenskapligt)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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| 2. |
- Ericsson, Stefan, et al.
(författare)
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Towards automatic detection of local bearing defects in rotating machines
- 2005
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Ingår i: Mechanical Systems and Signal Processing. - Academic Press. - 0888-3270. ; 19:3
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Tidskriftsartikel (övrigt vetenskapligt)abstract
- In this paper we derive and compare several different vibration analysis techniques for automatic detection of local defects in bearings. Based on a signal model and a discussion on to what extent a good bearing monitoring method should trust it, we present several analysis tools for bearing condition monitoring and conclude that wavelets are especially well suited for this task. Then we describe a large-scale evaluation of several different automatic bearing monitoring methods using 103 laboratory and industrial environment test signals for which the true condition of the bearing is known from visual inspection. We describe the four best performing methods in detail (two wavelet-based, and two based on envelope and periodisation techniques). In our basic implementation, without using historical data or adapting the methods to (roughly) known machine or signal parameters, the four best methods had 9–13% error rate and are all good candidates for further fine-tuning and optimisation. Especially for the wavelet-based methods, there are several potentially performance improving additions, which we finally summarise into a guiding list of suggestion.
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| 3. |
- Gogatishvili, Amiran, et al.
(författare)
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Characterisation of embeddings in Lorentz spaces
- 2007
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Ingår i: Australian Mathematical Society. Bulletin. - Cambridge University Press. - 0004-9727. ; 76:1
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Tidskriftsartikel (övrigt vetenskapligt)abstract
- Some new integral conditions characterising the embedding Λp(v) → Γq(w), 0 < p, q ≤ co are presented, including proofs also for the cases (i) p = ∞, 0 < q < ∞, (ii) 1 = ∞, 1 < p < ∞ and (iii) p = q = ∞. Only one condition is necessary for each case which means that our conditions are different from and simpler than other corresponding conditions in the literature. We even prove our results in a more general frame namely when the space Γq(w) is replaced by the more general space Γuq(w). In our proof we use a technique of discretisation and anti-discretisation developed by A. Gogatishvili and L. Pick, where they considered the opposite embeddingSome new integral conditions characterising the embedding Λp(v) → Γq(w), 0 < p, q ≤ co are presented, including proofs also for the cases (i) p = ∞, 0 < q < ∞, (ii) 1 = ∞, 1 < p < ∞ and (iii) p = q = ∞. Only one condition is necessary for each case which means that our conditions are different from and simpler than other corresponding conditions in the literature. We even prove our results in a more general frame namely when the space Γq(w) is replaced by the more general space Γuq(w). In our proof we use a technique of discretisation and anti-discretisation developed by A. Gogatishvili and L. Pick, where they considered the opposite embedding
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| 4. |
- Johansson, Hans, et al.
(författare)
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Inequalities for moduli of continuity and rearrangements
- 1991
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Ingår i: Conference on Approximation Theory, in Kecskemét, August 6 to 11, 1990. - Elsevier. - 0-444-98695-2 - 9-638022-64-7 ; 412-423
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Annan publikation (populärvet., debatt m.m.)abstract
- In this paper we consider measurable functions f from a symmetric space X on [0,1]. We prove some inequalities relating the behavior of the nonincreasing rearrangement f* and the (generalized) modulus of continuity ωX (t,f). In particular, we generalize, complement and unify some previous result by Brudnyi, Garsia and Rodemich, Milman, Osvald, Storozhenko, and Wik. We note that these inequalities have direct applications, e.g. in the theory of imbedding of symmetric spaces and Besov (Lipschitz) spaces, Fourier analysis and the theory of stochastic processes. This paper is organized in the following way: In Section 1 we give some basic definitions and other preliminaries. In Section 2 we present a generalization of the Storozhenko inequality to the case of symmetric spaces thereby sharpening a previous result of Milman. We also include a generalization of the Garsia-Rodemich inequality to these spaces. In Section 3 we present and prove the Brudnyi-Osvald-Wik inequality for the case of symmetric spaces.
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| 5. |
- Johansson, Maria, et al.
(författare)
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A new approach to the Sawyer and Sinnamon characterizations of Hardy's inequality for decreasing functions
- 2008
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Ingår i: Georgian Mathematical Journal. - Heldermann Verlag. - 1072-947X. ; 15:2
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Tidskriftsartikel (övrigt vetenskapligt)abstract
- Some Hardy type inequalities for decreasing functions are characterized by one condition (Sinnamon), while others are described by two independent conditions (Sawyer). In this paper we make a new approach to deriving such results and prove a theorem, which covers both the Sinnamon result and the Sawyer result for the case where one weight is increasing. In all cases we point out that the characterizing condition is not unique and can even be chosen among some (infinite) scales of conditions.
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| 6. |
- Johansson, Maria, et al.
(författare)
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Carleman's inequality history, proofs and some new generalizations
- 2003
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Ingår i: Journal of Inequalities in Pure and Applied Mathematics. - Victoria University School of Computer Sciences and Mathematics. - 1443-5756. ; 4:3
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Tidskriftsartikel (övrigt vetenskapligt)abstract
- Carleman's inequality reads where , are positive numbers. In this paper we present some simple proofs of and several remarks (e.g. historical) about the inequality and its corresponding continuous version. Moreover, we discuss and comment on some very new results. We also include some new proofs and results e.g. a weight characterization of a general weighted Carleman type inequality for the case 0 p q We also include some facts about T. Carleman and his work.
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| 7. |
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| 8. |
- Johansson, Maria, et al.
(författare)
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Multidimensional inequalities of Hardy and (limit) Pólya-Knopp types
- 2012
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Ingår i: Analysis for science, engineering and beyond : the tribute workshop in honour of Gunnar Sparr held in Lund, May 8-9, 2008. - Heidelberg : Springer. - 978-3-642-20235-3 - 978-3-642-20236-0 ; 267-304
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Bokkapitel (övrigt vetenskapligt)
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| 9. |
- Nordin, Lars-Olof, et al.
(författare)
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Mechanical response of thermoset polymers under high compressive loads, 2
- 2005
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Ingår i: Macromolecular Materials & Engineering. - Wiley - V C H Verlag GmbH & Co. KGaA. - 1438-7492. ; 290:11
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Tidskriftsartikel (övrigt vetenskapligt)abstract
- A nonlinear viscoelastic material model was used to describe the experimental behaviour of thin vinyl ester specimens subjected to compression in thickness direction. The stress-dependent material functions in the model were found in creep and strain recovery tests on thick cylindrical specimens. The elastic and creep response of thin thermoset polymer specimens subjected to compressive loads was simulated while varying the geometry of the test set samples. The calculated increase in the apparent elastic modulus and decrease of the creep-strain rate due to reduced thickness-to-width ratio is in a good qualitative correlation with experimental results for corresponding geometries. The constraint due to friction and interaction with the material outside the loaded surface area were identified as the cause for high apparent stiffness, which converges with decreasing thickness to an asymptotic value dependent on the modulus and Poisson's ratio of the material.
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| 10. |
- Delsing, Lars-Olof, et al.
(författare)
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Litteraturkrönikan 2010
- 2011
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Ingår i: Arkiv för nordisk filologi. - 0066-7668. ; 126, s. 197-242
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Recension (övrigt vetenskapligt)
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