ON JENSEN TYPE INEQUALITIES WITH ORDERED VARIABLES VASILE CÎRTOAJE

... bound for the weighted Jensen s discrete inequality with ordered variables applied to a convex function f, in the case when the lower bound depends on f, weights, and two given variables. Furthermore, ... Inequality with Ordered Variables Vasile Cirtoaje Department of Automatic Control and Computers, University of Ploiesti, 100680 Ploiesti, Romania Correspondence should be a...

Ngày tải lên: 21/06/2014, 07:20

...  X 2 Ω with another constant C, or equivalently, i if inequality 1.7 fails in XΩ  X 2 Ω with any constant C, then so does 1.7 in XΩ  X 1 Ω with any constant C. From the proposition ... function of a set E and C ∞ c Ω denotes the class of compactly supported C ∞ -functions on Ω. We also denote by C c Ω the class of compactly supported continuous functions on Ω....

Ngày tải lên: 21/06/2014, 11:20

... corresponding to the domain without perfo ration and vanish on the perforation. The questions we are interested in are; how does the best constant in the Friedrichs -type inequality depend on the ... functions satisfy homogeneous Neumann boundary conditions on the outer boundary and that they vanish on the perforation. In particular, it is proved that the best constant in the inequal...

Ngày tải lên: 20/06/2014, 23:20

... and new Hadamard -type inequalities involving two log-convex functions, two m-convex functions, or two α, m-convex functions using elementary analysis. 2. Main Results We start with the following ... Gill et al. 1997 for log-convex functions but also obtain some new Hadamard -type inequalities for log-convex m-convex, and α, m-convex functions. 1. Introduction The following ineq...

Ngày tải lên: 21/06/2014, 07:20

... integral inequalities with two dependent limits is established. In application, the boundedness of the solutions of nonlinear differential equations is presented. 1. Introduction Integral inequalities ... Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The theorem on the Gr...

Ngày tải lên: 21/06/2014, 07:20

... refinements of the Jensen inequalities based upon samples with repetitions,” Mathematical and Computer Modelling, vol. 51, no. 5-6, pp. 592–600, 2010. 7 C. Gao and J. Wen, Inequalities of Jensen- Pe ˇ cari ´ c-Svrtan-Fan ... 2.53. Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2010, Article ID 850215, 21 pages doi:10.1155/2010/850215 Research Artic...

Ngày tải lên: 21/06/2014, 18:20

... consider the Hilbert -type inequalities with nonconjugate parameters. The obtaining of the best possible constants in the case of nonconjugate parameters remains still open. Our generalization will ... Publishing Corporation Journal of Inequalities and Applications Volume 2009, Article ID 130958, 12 pages doi:10.1155/2009/130958 Research Article Multidimensional Hilbert -Type Inequal...

Ngày tải lên: 22/06/2014, 03:20

... measured in relation to the total number of chondrocytes. Zonal attribution of PTH1R positive chon- drocytes was done with respect to the typical shape of chondrocytes at the different zones of articular ... PTH1R expression 6 weeks after resection of the ACL. E, PTH1R expression 12 weeks after the sham operation. F, PTH1R expression 12 weeks after resection of the ACL. Magnification bar...

Ngày tải lên: 20/06/2014, 04:20

... such solution of Equat ion 1 on  0, π 2  ∪  π 2 , π  ; which satisfies one of the bound- ary conditions and both transmission conditions. Lemma 1.Letw (x, l) be a solution of Equation 1 and ... study, a discontinuous boundary-value problem with retarded argument which contains a spectral parameter in the boundary condition and with transmission conditions at the point of discontinui...

Ngày tải lên: 20/06/2014, 22:20

... The University of Hong Kong, Pokfulam Road, Hong Kong Zhao and Cheung Journal of Inequalities and Applications 2011, 2011:7 http://www.journalofinequalitiesandapplications.com/content/2011/1/7 Page ... Journal of Inequalities and Applications 2011, 2011:7 http://www.journalofinequalitiesandapplications.com/content/2011/1/7 Page 4 of 8 Authors’ contributions C-JZ and W-SC jointly contribut...

Ngày tải lên: 21/06/2014, 03:20