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Effects of cancer-testis antigen, TFDP3, on cell cycle regulation and its mechanism in L-02 and HepG2 cell lines in vitro

Ding. Formal analysis: Yunshen Jiao, Lingyu Ding, Xiaofan Zhao. Investigation: Yunshen Jiao, Xi Chen, Zirui Gao, Likai Gao. Project administration: Yunshen Jiao, Ming Chu, Yuedan Wang. Resources: Jiarui ... Kang. Software: Yunshen Jiao, Lingyu Ding, Tieshan Wang. Supervision: Ming Chu, Yuedan Wang. Visualization: Lingyu Ding. Writing ± original draft: Yunshen Jiao. Writing ± review & editing: Lingyu

Improvements of the bounds for Ramanujan constant function

In the article, we establish several inequalities for the Ramanujan constant function R ( x ) = − 2 γ − ψ ( x ) − ψ ( 1 − x ) on the interval ( 0 , 1 / 2 ] , where ψ ( x ) is the classical psi function and γ = 0.577215 ⋯ is the Euler-Mascheroni constant. MSC: 33B15, 26D07.

Generalized Wilker-type inequalities with two parameters

In the article, we present certain p , q ∈ R such that the Wilker-type inequalities 2 q p + 2 q ( sin x x ) p + p p + 2 q ( tan x x ) q > ( < ) 1 and ( π 2 ) p ( sin x x ) p + [ 1 − ( π 2 ) p ] ( tan x x ) q > ( < ) 1 hold for all x ∈ ( 0 , π / 2 ) . MSC: 26D05, 33B10.

Inequalities for certain means in two arguments

In this paper, we present the sharp bounds of the ratios U ( a , b ) / L 4 ( a , b ) , P 2 ( a , b ) / U ( a , b ) , N S ( a , b ) / P 2 ( a , b ) and B ( a , b ) / N S ( a , b ) for all a , b > 0 with a ≠ b , where L 4 ( a , b ) = [ ( b 4 − a 4 ) / ( 4 ( log b − log a ) ) ] 1 / 4 , U ( a , b ) = ( b − a ) / [ 2 arctan ( ( b − a ) / 2 a b ) ] , P 2 ( a , b ) = [ ( b 2 − a 2...

On approximating Mills ratio

In the article, we present several sharp bounds for the Mills ratio R ( x ) = e x 2 / 2 ∫ x ∞ e − t 2 / 2 d t ( x > 0 ) in terms of the functions I a ( x ) = a / [ x 2 + 2 a + ( a − 1 ) x ] and J ( x ) = a / [ x 2 + 2 a 2 / π + 2 a x / π ] with parameter a > 0 . MSC: 60E15, 26A48, 26D15.

Sharp One-Parameter Mean Bounds for Yang Mean

We prove that the double inequality holds for all with if and only if and , where , and , , and are the Yang and th one-parameter means of and , respectively.

Optimal Bounds for Neuman Mean Using Arithmetic and Centroidal Means

We present the best possible parameters and such that the double inequalities and hold for all with and give several sharp inequalities involving the hyperbolic and inverse hyperbolic functions. Here, , , , and are, respectively, the Neuman, arithmetic, quadratic, and centroidal means of and , and .

Optimal Bounds for Neuman Mean Using Arithmetic and Centroidal Means

We present the best possible parameters and such that the double inequalities and hold for all with and give several sharp inequalities involving the hyperbolic and inverse hyperbolic functions. Here, , , , and are, respectively, the Neuman, arithmetic, quadratic, and centroidal means of and , and .

Optimal power mean bounds for the second Yang mean

In this paper, we present the best possible parameters p and q such that the double inequality M p ( a , b ) < V ( a , b ) < M q ( a , b ) holds for all a , b > 0 with a ≠ b , where M r ( a , b ) = [ ( a r + b r ) / 2 ] 1 / r ( r ≠ 0 ) and M 0 ( a , b ) = a b is the rth power mean and V ( a , b ) = ( a − b ) / [ 2 sinh − 1 ( ( a − b ) / 2 a b ) ] is the second Yang mean. MSC: 26E60.

Arcwise Connected Domains, Quasiconformal Mappings, and Quasidisks

; Accepted 16 August 2014; Published 28 August 2014 Academic Editor: Zhi-Gang Wang Copyright © 2014 Yu-Ming Chu. This is an open access article distributed under the Creative Commons Attribution License

Arcwise Connected Domains, Quasiconformal Mappings, and Quasidisks

; Accepted 16 August 2014; Published 28 August 2014 Academic Editor: Zhi-Gang Wang Copyright © 2014 Yu-Ming Chu. This is an open access article distributed under the Creative Commons Attribution License

Sharp bounds for cyclic sums of the ratio of the exradius to the sides of a triangle

In this paper, sharp bounds for cyclic sums of the ratio of the exradius to the sides of a triangle are established depending on the circumradius and inradius of the triangle. The best possible parameters for the expressions of bounds are derived. Moreover, an alternative bound for the ratio of the exradius to the sides of triangle, expressed by trigonometric functions, is also...

Circumferential Strain Can Be Used to Detect Lipopolysaccharide-Induced Myocardial Dysfunction and Predict the Mortality of Severe Sepsis in Mice

Background Sepsis-induced myocardial dysfunction is a common and severe complication of septic shock. However, conventional echocardiography often fails to reveal myocardial depression in severe sepsis. Recently, strain measurements based on speckle tracking echocardiography (STE) have been used to evaluate cardiac function. Aims To investigate the role of STE in detecting...

A Novel Heat Sink Design and Prototyping for LED Desk Lamps

Editor: Mo Li Copyright © 2015 Li-Ming Chu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and

Jordan Type Inequalities for Hyperbolic Functions and Their Applications

Received 3 August 2014; Accepted 2 September 2014 Academic Editor: Kehe Zhu Copyright © 2015 Zhen-Hang Yang and Yu-Ming Chu. This is an open access article distributed under the Creative Commons

Jordan Type Inequalities for Hyperbolic Functions and Their Applications

Received 3 August 2014; Accepted 2 September 2014 Academic Editor: Kehe Zhu Copyright © 2015 Zhen-Hang Yang and Yu-Ming Chu. This is an open access article distributed under the Creative Commons

Jordan Type Inequalities for Hyperbolic Functions and Their Applications

Received 3 August 2014; Accepted 2 September 2014 Academic Editor: Kehe Zhu Copyright © 2015 Zhen-Hang Yang and Yu-Ming Chu. This is an open access article distributed under the Creative Commons

Sharp bounds for Toader mean in terms of arithmetic, quadratic, and Neuman means

In this paper, we present the best possible parameters α , β ∈ R and λ , μ ∈ ( 1 / 2 , 1 ) such that the double inequalities α N A Q ( a , b ) + ( 1 − α ) A ( a , b ) < T ∗ ( a , b ) < β N A Q ( a , b ) + ( 1 − β ) A ( a , b ) , Q [ λ a + ( 1 − λ ) b , λ b + ( 1 − λ ) a ] < T ∗ ( a , b ) < Q [ μ a + ( 1 − μ ) b , μ b + ( 1 − μ ) a ] hold for all a , b > 0 with a ≠ b , where T...

Parametrized inequality of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex

In this paper we present some inequalities of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex. Moreover, an application to special means of real numbers is also considered.