Báo cáo hóa học: "ON MULTIPLE HARDY-HILBERT INTEGRAL INEQUALITIES WITH SOME PARAMETERS'''''''' pdf

... equations, while those in [19, 21, 33] are dealing with the behavior of solutions of some linear (neutral or non- neutral) integrodifferential equations with unbounded delay. Note that the method used in ... paper without any further mention. We also give some facts concerning these notations that we will keep in mind in what follows. Let λ 0 be a positive root of the characteristic eq...

Ngày tải lên: 22/06/2014, 22:20

... ON MULTIPLE HARDY-HILBERT INTEGRAL INEQUALITIES WITH SOME PARAMETERS HONG YONG Received 19 April 2006; Revised 30 May 2006; Accepted 5 June 2006 By introducing some parameters and ... Publishing Corporation Journal of Inequalities and Applications Volume 2006, Article ID 94960, Pages 1–11 DOI 10.1155/JIA/2006/94960 6 Multiple Hardy-Hilbert integral inequalities Hence,...

Ngày tải lên: 22/06/2014, 22:20

... is properly cited. We investigate some nonlinear integral inequalities in two independent variables on time scales. Our results unify and extend some integral inequalities and their corresponding ... 11 have studied integral inequalities useful in the theory of partial dynamic equations on time scales, as far as we know. In this paper, we investigate some nonlinear integra...

Ngày tải lên: 21/06/2014, 05:20

... Meng, “On some advanced integral inequalities and their applications,” Journal of Inequalities in Pure and Applied Mathematics, vol. 6, no. 3, article 60, pp. 8 pages, 2005. 6 Journal of Inequalities ... “On some integral inequalities w ith iterated integrals,” Journal of the Korean Mathematical Society, vol. 43, no. 3, pp. 563–578, 2006. [14] S. S. Dragomir and Y H. Kim, “On...

Ngày tải lên: 21/06/2014, 22:20

... some new integro-differential inequalities, ” Analele S¸tiint¸ifice ale Universit ˘ at¸ii “Al. I. Cuza” din Ias¸i, vol. 28, no. 1, pp. 123–126, 1982. 4 D. Ba ˘ ınov and P. Simeonov, Integral Inequalities ... of the present paper is to establish some new sharp integral inequalities involving higher-order partial derivatives. Our results in special cases yield some of the recent...

Ngày tải lên: 22/06/2014, 03:20

... 11 References [1] M. Pinto, Integral inequalities of Bihari-type and applications,” Funkcialaj Ekvacioj, vol. 33, no. 3, pp. 387–403, 1990. [2] B. G. Pachpatte, “On some fundamental integral inequalities and ... theory of differential and integral e quations. There are a lot of papers investigating them such as [1–8]. In particular, Pachpatte [2] discovered some new integral in...

Ngày tải lên: 22/06/2014, 18:20

... the mark cannot increase by 2 or more. We also know that S ∗ = S p for some 1 ≤ p ≤ l. Then, at some point, there must be some v i such that m(v i ) = p. Since marks cannot increase by 2 or more, m(v i−1 )mustbep ... its 3 corresponding vari- able gadgets, 6 edges within its corresponding variable gad- gets (because we allow multiple occurrences), and 3 edges within it. There are thus...

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... value problems with integral boundary conditions on time scales. Motiv ated by the statements above, in this paper, we are concerned with the follow- ing boundary value problem with integral boundary ... 18 The Leb esgue integral associated with the measure μ Δ on is called the Lebesgue delta integral. For a (measurable) set E ⊂ and a function f : E ® ℝ, the correspond- ing in...

Ngày tải lên: 20/06/2014, 22:20

... ceil- ing effect on the achievable rate with fixed feedback bits per user. Achievable downlink multiplexing gain with DF The multiplexing gain of the downlink with DF and fixed feedback bits per ... random variable with mean of a and variance of b. Zero-forcing dirty-paper coding with perfect CSIT Consider a multiple antenna broadcast channel com- posed of one base station (BS) w...

Ngày tải lên: 21/06/2014, 02:20

... the integral operator Fz  z 0 ft/t α dt ∈Nδ with δ  αβ − 11 and α>0. Proof. In Corollary 2.2, we consider n  1andα 1  α. Corollary 2.4. Let f ∈Mβ with β>1. Then the integral ... easy to see that these integral operators are analytic operators. 2. Main results Theorem 2.1. Let f i ∈Mβ i , for each i  1, 2, 3, ,n with β i > 1.ThenF n z ∈Nμ with μ...

Ngày tải lên: 22/06/2014, 03:20