Báo cáo hóa học: " On some Opial-type inequalities" docx

... 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 ... differential equations as well as difference equations [2-6]. The inequality (1.1 ) has received considerableattention,andalargenumberof paper s dealing with new proofs, extensions, generalizat...

Ngày tải lên: 21/06/2014, 03:20

... and the Tur ´ an inequalities, Transactions of the American Mathematical Society 296 (1986), no. 2, 521–541. [2] ´ A. Elbert and A. Laforgia, Some monotonicity properties of the zeros of ultraspherical ... Mathematica Hungarica 48 (1986), no. 1-2, 155–159. [3] , Monotonicity results on the zeros of ge n eralized Laguerre polynomials, Journal of Approx- imation Theory 51 (1987), no. 2, 168...

Ngày tải lên: 22/06/2014, 21:20

... 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 inequality converges ... perfora- tion is “rare”, i.e., the size of the local perforation is much smaller than the period of perforation.Moreover,weconsiderthecasewherethefunctionssatisfyahomoge- neous Neumann co...

Ngày tải lên: 20/06/2014, 23:20

... possess an unconditional basis. The following proposition relates spaces with unconditional bases and spaces with monotone norm and seems to be of independent interest. Proposition 4.1. Let X ... infinite-dimensional Banach space one may find not only fixed point free self-maps of the unit ball, but also retractions of the unit ball onto its boundary, contractions of the unit sphere, and nonzero...

Ngày tải lên: 23/06/2014, 00:20

... (2003), no. 6, 743–750. Hong Yong: Department of Mathematics, Guangdong University of Business Study, Guangzhou 510320, China E-mail address: hongyong59@sohu.com Hong Yong 5 hence, we have  R n + x (n−βλ)+p(b−a) α f p (x) ... = C(constant), a.e. x ∈ R n + , (3.8) Hong Yong 9 which cont radicts the fact that K<K 1 .Hencetheconstantfactorin(3.20)isthebest possible. Since (3.21)and(3.20) a...

Ngày tải lên: 22/06/2014, 22:20

... 1997. [26] S C. Pei and J J. Ding, “Relations between fractional oper- ations and time-frequency distributions, and their applica- tions,” IEEE Transactions on Signal Processing, vol. 49, no. 8, pp. ... representation,” Journal of Mathemati- cal Physics, vol. 12, no. 8, pp. 1772–1783, 1971. [24] X. Guanlei, W. Xiaotong, and X. Xiaogang, “Fractional quaternion fourier transform, convolution...

Ngày tải lên: 21/06/2014, 20:20

... C 1 function on (0,∞), (b) Γ is strictly increasing, Γ(2t) ≥ ηΓ(t)forsomefixedη>1andΓ(2t) ≤ cΓ(t)for some constant c ≥ η>1. (c) Γ  (t) ≥ αΓ(t)/t on (0,∞)forsomefixedα ∈ (0,log 2 c]andΓ  (t) is monotone ... ηΓ(2t)forsomefixedη>1andΓ(t) ≤ cΓ(2t)for some constant c ≥ η>1. (c  ) |Γ  (t)|≥αΓ(t)/t on (0,∞)forsomefixedα ∈ (0, log 2 c]andΓ  (t)ismonotoneon (0, ∞). Model functio...

Ngày tải lên: 22/06/2014, 22:20

... recall some basic properties of Hausdorff measure, Hausdorff dimension, packing measure, packing dimension, Minkowski contents, box dimensions, and mod- ified box dimensions. Let U be a nonempty ... under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1. Introduction Hausdorff...

Ngày tải lên: 22/06/2014, 22:20

... the function ϕ is convex and continuous on the whole s pace H, it turns out ϕ is bounded from below on the bounded subsets of H. Consequently, in conjunction with assumption (H2), one has that ... existence of solutions (see Section 3). Some location information on the solution set of problem (1.3) is also available through our results, for example, criteria to have nontrivial solutio...

Ngày tải lên: 23/06/2014, 00:20

... y ∈ R + . This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. On quotients and differences ... Anderson, GD, Vamanamurthy, MK, Vuorinen, M: Conformal Invariants, Inequalities and Quasi- conformal Maps. John Wiley & Sons, New York (1997) [5] Ponnusamy, S, Vuorinen, M: Asymptotic exp...

Ngày tải lên: 18/06/2014, 15:20