Báo cáo hóa học: " Maximal -inequalities for demimartingales" pdf

... inequality for more general demimartingales. Prakasa Rao [8] established some maximal inequalities for demisubmartingales. Wang et al. [9] established some max- imal inequalities for d emimartingales ... law of large numbers for demimartingales. J Inequal Appl. (2010). doi:10.1155/2010/838301 doi:10.1186/1029-242X-2011-59 Cite this article as: Gong: Maximal -inequalities for de...

Ngày tải lên: 20/06/2014, 22:20

... Calderón-Zygmund operators that are sharp for the Hilbert transform and for the Riesz transforms. Ding and Lin [23] consider the fractional integral operator and the maximal operator that contain a func ... 1. Therefore, the proof is completed. 4 Proo f of Theorem 1.2 Theorem 1.2 can be regarded as cross-weighted norm inequalities for the Hardy-Little- wood maximal fun ction and the...

Ngày tải lên: 20/06/2014, 22:20

... e x-1 for all x Î ℝ, we have by Lemma 1.2 that E  n  i=1 e αX i  ≤ M n  i=1 Ee αX i ≤ M n  i=1 exp(Ee αX i − 1) ≤ M exp  αB n sinh αC C  , where C is a positive constant. Therefore, for ... inequalities for END sequence are provided in S ection 2, the moment inequalities for END sequence are presented in Section 3, and the asymptotic approximatio n of inverse moment for non-...

Ngày tải lên: 20/06/2014, 22:20

... M n =M n,n .Let  ·  denote any unitarily invariant norm on M n .So,  UAV  =  A  for all AÎM n and for all unitary matrices U,VÎM n . For A =(a ij )ÎM n , the Hilbert-Schmidt norm of A is defined by  A  2 =      ⎛ ⎝ n  i=1 n  j=1   a ij   2 ⎞ ⎠ =  tr | A | 2 =   n j=1 s 2 j ( A ) , where ... to the referees and Professor Vijay Gupta for their detailed and helpful...

Ngày tải lên: 21/06/2014, 02:20

... Hermite-Hadamard type for functions whose modulus of the derivatives are convex and applications for special means are given. Finally, some error estimates for the trapezoidal formula are obtained. 2000 ... Corollary 3 and 4 for f (x)= 1 x . □ 4. The Trapezoidal Formula Let d be a division a = x 0 <x 1 < <x n -1 <x n = b of the interval [a, b] and consider the quadrature f...

Ngày tải lên: 20/06/2014, 22:20

... if the inequality ||x − y|| ≤ ||x − y + t (( I − T ) x − ( I − T ) y ) | | (1:1) holds for each x, y Î D(T)andforallt>0. As a result of [ 1], it follows from (1.1) that T is pseudocontractive ... - Ty, j(x-y)〉 ≤ ||x-y|| 2 for any x, y Î D(T). T is called strongly pseudocontractive if there exist j(x-y) Î J (x-y)andb Î (0, 1) such that 〈Tx - Ty, j(x-y)〉 ≤ b ||x-y|| 2 for any x, y Î...

Ngày tải lên: 20/06/2014, 22:20

... Access Performance analysis for optimum transmission and comparison with maximal ratio transmission for MIMO systems with cochannel interference Sheng-Chou Lin Abstract This article presents the performance ... is higher for T <R . Therefore, the effects of these two fac- tors compensate for each other which makes the perfor- mance on BER is symmetric in T and R in the absence of...

Ngày tải lên: 21/06/2014, 00:20

... (for all α ∈ B d ), λ = d −1 · α, min{α}≤θ ≤ max{α} (for all α ∈ B d ). If, for arbitrary α ∈ B d , x ∈ R n ++ ,theinequality n  j=1  M [α j ] n (x)  λ j ≤ M [θ] n (x) (2.1) holds, then, for ... Article ID 67624, 9 pages. 22 The optimization for the inequalities of power means Equation (6.2) is substituted by (6.5); and using expansion formula for polynomial, f can be expressed a...

Ngày tải lên: 22/06/2014, 21:20

... solutions. 3.1. An existence result for (3.1). The existence of solutions of (3.1)followsbystandard arguments and is given here only for the sake of completeness and for providing the nec- essary tools ... sub- solutions. Ourmaingoalistoproveexistenceresultsforproblem(1.1) only under the assump- tion that certain growth conditions on the data are satisfied. Problem (1.1) includes various...

Ngày tải lên: 22/06/2014, 22:20

... η(u,z)+η(z,v) for each u,v,z ∈ D, (b) η( ·,·) is affine in the first variable, (c) for each fixed v ∈ D, u → η(v,u) is sequentially continuous from the weak topol- ogy to the weak topology; (iii) for each ... 0  (3.35) is bounded for at least one v ∈ D. Then, there is a unique solution u n+1 ∈ D to problem (3.1) for each given iterate u n .If c 1 <ρ n < 2βμ  L 2 δ 2 + c 2  , n...

Ngày tải lên: 22/06/2014, 22:20