Báo cáo hóa học: "Research Article On Some Quasimetrics and Their Applications" ppt

... convex cone which is stable by product and composition of functions. Proof. Let f, g ∈Hand λ ≥ 0. First, it is clear that f  λg, fg and the composition of functions g ◦ f are nonnegative nondecreasing ... quasi-metric on E. 2 Let ρ be a quasi-metric on E and γ a non-negative symmetric function on E × E such that γ ∼ ρ, then γ is a quasi-metric on E. 3 Let ρ 1 and ρ 2 be t...

Ngày tải lên: 22/06/2014, 03:20

... impulsive nonlinear singular version of the Gronwall-Bihari inequality,” Journal of Inequalities and Applications, vol. 2006, Article ID 84561, 12 pages, 2006. Hindawi Publishing Corporation Journal ... and Its Applications (East European Series), Kluwer Academic Publishers, Dordrecht, The Netherlands, 1992. 3 X. Liu and Q. Wang, “The method of Lyapunov functionals and exponential...

Ngày tải lên: 22/06/2014, 02:20

... new sequence spaces using ideal convergence and an Orlicz function in 2-normed spaces and examine some of their properties. 1. Introduction The notion of ideal convergence was introduced first by ... Corporation Journal of Inequalities and Applications Volume 2010, Article ID 482392, 8 pages doi:10.1155/2010/482392 Research Article On Some New Sequence Spaces in 2-Normed Spac...

Ngày tải lên: 21/06/2014, 07:20

... cited. We show some geometric conditions on a Banach space X concerning the Jordan-von Neumann constant, Zb ˘ aganu constant, characteristic of separation noncompact convexity, and the coefficient ... z r     . 3.4 Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2010, Article ID 596952, 12 pages doi:10.1155/2010/596952 Research Article On Some G...

Ngày tải lên: 21/06/2014, 11:20

... Corporation Journal of Inequalities and Applications Volume 2010, Article ID 201486, 8 pages doi:10.1155/2010/201486 Research Article On Some Matrix Trace Inequalities Z ¨ ubeyde Uluk ¨ ok and Ramazan ... Uluk ¨ ok and R. T ¨ urkmen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and re...

Ngày tải lên: 21/06/2014, 18:20

... Corporation Journal of Inequalities and Applications Volume 2010, Article ID 464976, 13 pages doi:10.1155/2010/464976 Research Article On Some Integral Inequalities on Time Scales and Their Applications Run ... National Natural Science Foundation of China 10771118, the Natural Science Foundation of Shandong Province ZR2009AM011, and the Science Foundation of the Educatio...

Ngày tải lên: 21/06/2014, 18:20

... Theory and Applications 3 iv h e,a z ≥ r ⇔ z / ∈ a  re − int C; g e,a z ≤ r ⇔ z / ∈ a  re  int C; v h e,a is a continuous and convex function; g e,a is a continuous and concave function; vi ... locally convex topological vector space and let X ⊂ E be a nonempty compact and convex set. If T : X → 2 X is upper semicontinuous, and for any x ∈ X, Tx is a nonempty, close...

Ngày tải lên: 21/06/2014, 20:20

... for the Holmes-Thompson definition and the Busemann definition given below belong to important classes of convex bodies known as projection bodies  centered zonoids and intersection bodies, respectively; ... there. Finally we mention once more that the monograph 38 contains a wide and deep discussion of the isoperimetric problem for different definitions of surface area and volume in...

Ngày tải lên: 21/06/2014, 18:20

... in Section 2, we give some preliminaries and establish the variational framework for BVP 1.5. Then, in Section 3,we present a sufficient condition on the nonexistence of nontrivial solutions of ... complements existing ones. 4. Existence of Solutions Theorem 3.1 gives a set of sufficient conditions on the nonexistence of solutions of BVP 1.5. In this section, with part of the conditio...

Ngày tải lên: 21/06/2014, 20:20

... the classes V k α and R k α by using three different methods. The first one is the same as done by Goel 6, while the second and third are the convolution and subordination techniques. 2. Preliminary ... “Functions starlike and convex of order α,” Journal of the London Mathematical Society. Second Series, vol. 3, pp. 469–474, 1971. 13 T. H. MacGregor, “A subordination for convex...

Ngày tải lên: 22/06/2014, 02:20