Báo cáo hóa học: " Research Article On Logarithmic Convexity for Ky-Fan Inequality" pptx

... Publishing Corporation Journal of Inequalities and Applications Volume 2008, Article ID 870950, 4 pages doi:10.1155/2008/870950 Research Article On Logarithmic Convexity for Ky-Fan Inequality Matloob ... well known that Ky-Fan inequality can be obtained from the Levinson inequality 1, see also 2, page 71. Theorem 1.1. Let f be a real-valued 3-convex function on 0, 2a...

Ngày tải lên: 21/06/2014, 22:20

... Publishing Corporation Journal of Inequalities and Applications Volume 2008, Article ID 305623, 12 pages doi:10.1155/2008/305623 Research Article On Logarithmic Convexity for Power Sums and Related ... is, φ i for i  1, 2 are convex. Theorem 3.9. Let t 0 ∈ a, b be fixed, h be continuous and monotonic with ht 0 0, g be a function of bounded variation, and f ∈ C 2 I such...

Ngày tải lên: 22/06/2014, 02:20

... Publishing Corporation Journal of Inequalities and Applications Volume 2008, Article ID 389410, 9 pages doi:10.1155/2008/389410 Research Article On Logarithmic Convexity for Power Sums and Related ... function for x>0. Proof. Since ϕ t x/x   x t−2 > 0, for x>0, therefore ϕ t x/x is a strictly increasing function for x>0. Lemma 2.2 2. A positive func...

Ngày tải lên: 22/06/2014, 02:20

... ssimic@turing.mi.sanu.ac.yu Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2007, Article ID 37359, 8 pages doi:10.1155/2007/37359 Research Article On Logarithmic Convexity for Differences of Power ... question: under what conditions on m, n, p is the inequality (3.5) valid for distributions with support on ( −∞,+∞)? 3.4. An inequality on s...

Ngày tải lên: 22/06/2014, 11:20

... firstly gives the condition of the mixing coefficient, so the conditions a–c do not contain the mixing coefficient. Thus, the conditions a–c are obviously simpler than the conditions i–iii ... Publishing Corporation Journal of Inequalities and Applications Volume 2010, Article ID 769201, 12 pages doi:10.1155/2010/769201 Research Article On Complete Convergence for Arrays of R...

Ngày tải lên: 21/06/2014, 07:20

... strictly monotone, then the monotonicity in the conclusion is also strict. By choosing proper functions in Lemma 3.1, we sharpen Jordan’s inequality as follows. First, define the functions f 1 (x)and ... mentioned property, there was an x 0 between them with f  2 (x 0 ) = 0, which is a contradiction). If we further replace the condition f  2 (x) = 0in(3.3)byf  2 (x) > 0orf  2 (x) <...

Ngày tải lên: 21/06/2014, 22:20

... Section 4 to obtain convex formulations for tight inner and outer bounds on the SPCGS region along with the corresponding power allocations. In addition, in Section 5, we will use these formulations ... U 2 1 , the signal U 1 1 contains particular information for User 1. (iv) The signal U 3 2 contains common information for all users, and particular information for User 1. (v) For...

Ngày tải lên: 21/06/2014, 23:20

... strategy is to monotonize functions ϕ i s with other two nondecreasing ones such that one has stronger monotonicity than the other. We apply our estimation to an integrodifferential equation, which looks ... estimation for a general form of nonlinear integral inequality with two variables. This paper does not require monotonicity of known functions. The result of this paper can be applied to...

Ngày tải lên: 22/06/2014, 03:20

... Corporation Advances in Difference Equations Volume 2009, Article ID 394635, 9 pages doi:10.1155/2009/394635 Research Article On a Conjecture for a Higher-Order Rational Difference Equation Maoxin ... “Existence of nontrivial solutions of a rational difference equation,” Applied Mathematics Letters, vol. 20, no. 1, pp. 28–31, 2007. 21 S. Stevi ´ c, “Nontrivial solutions of a higher-...

Ngày tải lên: 22/06/2014, 11:20

... “Generalized quasilinearization method for reaction diffusion equations under nonlinear and nonlocal flux conditions,” Journal of Mathematical Analysis and Applications, vol. 271, no. 1, pp. 182–205, ... Article ID 80929, 10 pages doi:10.1155/2007/80929 Research Article On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions Yuandi Wang and Hamdi Zorgati R...

Ngày tải lên: 22/06/2014, 19:20