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, Huzhou Broadcast and TV University, Huzhou 313000, China
Received 26 December 2013; Accepted 13 February 2014; Published 18 March 2014
Academic Editor: Alberto Fiorenza
Copyright © 2014 Yu-**Ming** **Chu**

, Huzhou Broadcast and TV University, Huzhou 313000, China
Received 26 December 2013; Accepted 13 February 2014; Published 18 March 2014
Academic Editor: Alberto Fiorenza
Copyright © 2014 Yu-**Ming** **Chu**

Secret image sharing schemes have been extensively studied by far. However, there are just a few schemes that can restore both the secret image and the cover image losslessly. These schemes have one or more defects in the following aspects: (1) high computation cost; (2) overflow issue existing when modulus operation is used to restore the cover image and the secret image; (3...

We present the best possible parameters p1,p2,p3,p4,q1,q2,q3,q4∈[0,1] such that the double inequalities Gp1(a,b)<SHA(a,b)<Gq1(a,b), Qp2(a,b)<SCA(a,b)<Qq2(a,b), Hp3(a,b)<SAH(a,b)<Hq3(a,b), Cp4(a,b)<SAC(a,b)<Cq4(a,b) hold for all a,b>0 with a≠b, where SHA, SCA, SAH, SAC are the Neuman means, and Gp, Qp, Hp, Cp are the one-parameter means.MSC: 26E60.

In this paper, we prove that α=0 and β=3π−4log(2+3)(2π−4)log(2+3)=0.29758⋯ are the best possible constants such that the double inequality αQ(a,b)+(1−α)T(a,b)<SCA(a,b)<βQ(a,b)+(1−β)T(a,b) holds for all a,b>0 with a≠b, where Q(a,b)=(a2+b2)/2, SCA(a,b)=(a−b)3(a2+b2)+2ab2(a+b)sinh−1((a−b)3(a2+b2)+2ab(a+b)2) and T(a,b)=(a−b)/[2arctan((a−b)/(a+b))] are the quadratic, Neuman and second...

In this paper, we prove that the double inequality Mp(a,b)<U(a,b)<Mq(a,b) holds for all a,b>0 with a≠b if and only if p≤2log2/(2logπ−log2)=0.8684⋯ and q≥4/3, where U(a,b) and Mr(a,b) are the Yang and rth power means of a and b, respectively.MSC: 26E60.

We prove that the double inequalities H α ( a , b ) < X ( a , b ) < H β ( a , b ) and H λ ( a , b ) < U ( a , b ) < H μ ( a , b ) hold for all a , b > 0 with a ≠ b if and only if α ≤ 1 / 2 , β ≥ log 3 / ( 1 + log 2 ) = 0.6488 ⋯ , λ ≤ 2 log 3 / ( 2 log π − log 2 ) = 1.3764 ⋯ , and μ ≥ 2 , where H p ( a , b ) , X ( a , b ) , and U ( a , b ) are, respectively, the pth power-type...

In this paper, we prove that the inequality ∑n=1∞(1n∑k=1nak)p≤(pp−1)p∑n=1∞(1−d(p)(n−1/2)1−1/p)anp holds for p≤−1 and d(p)=(1+(2−1/p−1)p)/[8(1+(2−1/p−1)p)+2] if an>0 (n=1,2,…), and ∑n=1∞anp<+∞.MSC: 26D15.

Docetaxel (DTX), a taxane drug, has widely been used as an anticancer or antiangiogenesis drug. However, DTX caused side effects, such as vessel damage and phlebitis, which may reduce its clinical therapeutic efficacy. The molecular mechanisms of DTX that cause endothelial dysfunction remain unclear. The aim of this study as to validate the probable mechanisms of DTX-induced...

We find the best possible constants and such that the double inequalities

Extensive genetic studies have identified a large number of causal genetic variations in many human phenotypes; however, these could not completely explain heritability in complex diseases. Some researchers have proposed that the “missing heritability” may be attributable to gene–gene and gene–environment interactions. Because there are billions of potential interaction...

We present the necessary and sufficient condition for the monotonicity of the ratio of the power and second Seiffert means. As applications, we get the sharp upper and lower bounds for the second Seiffert mean in terms of the power mean.

We prove that and are the best possible parameters in the interval such that the double inequality holds for . As applications, some new approximation algorithms for the circumference ratio and Catalan constant are given. Here, is the trigamma function.

Background Children with longstanding use of antiepileptic drugs (AEDs) are susceptible to developing low bone mineral density and an increased fracture risk. However, the literature regarding the effects of AEDs on growth in epileptic children is limited. The aim of this study was to investigate the potential effects of valproate (VPA) and/or oxcarbazepine (OXC) therapy on...

High-risk human papillomavirus (HR-HPV) infections are necessary but insufficient agents of cervical and other epithelial cancers. Epidemiological studies support a causal, but ill-defined, relationship between tobacco smoking and cervical malignancies. In this study, we used mainstream tobacco smoke condensate (MSTS-C) treatments of cervical cell lines that maintain either...

To retrospectively determine the association between breast lesion morphology and malignancy and to determine the optimal value of lesion enhancement (HU, Hounsfield units) to improve the diagnostic accuracy of breast cancer in patients with incidental breast lesions (IBLs). A total of 97 patients with 102 IBLs detected from July 2009 to December 2012 were enrolled in this study...

In this paper, we find the greatest values α, λ and the least values β, μ such that the double inequalities α [ G ( a , b ) / 3 + 2 A ( a , b ) / 3 ] + ( 1 − α ) G 1 / 3 ( a , b ) A 2 / 3 ( a , b ) < P ( a , b ) < β [ G ( a , b ) / 3 + 2 A ( a , b ) / 3 ] + ( 1 − β ) G 1 / 3 ( a , b ) A 2 / 3 ( a , b ) and λ [ C ( a , b ) / 3 + 2 A ( a , b ) / 3 ] + ( 1 − λ ) C 1 / 3 ( a , b ) A...

CpG-ODNs activate dendritic cells (DCs) to produce interferon alpha (IFNα) and beta (IFNβ). Previous studies demonstrated that Toll-like receptor 9 (TLR9) deficient DCs exhibited a residual IFNα response to CpG-A, indicating that yet-unidentified molecules are also involved in induction of IFNα by CpG-A. Here, we report that the catalytic subunit of DNA-dependent protein kinase...

In this article, we establish some new inequality chains for the ratio of certain bivariate means, and we present several sharp bounds for the arithmetic-geometric mean.MSC: 26E60, 26D07, 33E05.

In this paper, we find the least value r and the greatest value p such that the double inequality erf(Mp(x,y;λ))≤H(erf(x),erf(y);λ)≤erf(Mr(x,y;λ)) holds for all x,y≥1 (or 0<x,y<1) with 0<λ<1, where erf(x)=2π∫0xe−t2dt, and Mp(x,y;λ)=(λxp+(1−λ)yp)1/p (p≠0) and M0(x,y;λ)=xλy1−λ are, respectively, the error function, and weighted power mean.MSC: 33B20, 26D15.