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A Best Possible Double Inequality for Power Mean

We answer the question: for any with and , what are the greatest value and the least value , such that the double inequality holds for all with ? Where is the th power mean of two positive numbers and .

A Best Possible Double Inequality for Power Mean

We answer the question: for any with and , what are the greatest value and the least value , such that the double inequality holds for all with ? Where is the th power mean of two positive numbers and .

A Class of Logarithmically Completely Monotonic Functions Associated with a Gamma Function

We show that the function is strictly logarithmically completely monotonic on if and only if and is strictly logarithmically completely monotonic on if and only if .

A Comprehensive Statistical Analysis of Predicting In Vivo Hazard Using High-Throughput In Vitro Screening

Over the past 5 years, increased attention has been focused on using high-throughput in vitro screening for identifying chemical hazards and prioritizing chemicals for additional in vivo testing. The U.S. Environmental Protection Agency’s ToxCast program has generated a significant amount of high-throughput screening data allowing a broad-based assessment of the utility of these...

A Double Inequality for the Trigamma Function and Its Applications

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.

A Genome-Wide Association Study on Chronic HBV Infection and Its Clinical Progression in Male Han-Taiwanese

It is common to observe the clustering of chronic hepatitis B surface antigen (HBsAg) carriers in families. Intra-familial transmission of hepatitis B virus (HBV) could be the reason for the familial clustering of HBsAg carriers. Additionally, genetic and gender factors have been reported to be involved. We conducted a three-stage genome-wide association study to identify genetic...

A New Approach to Determine the Critical Path in Stochastic Activity Network

2014; Accepted 13 April 2014; Published 14 May 2014 Academic Editor: Her-Terng Yau Copyright © 2014 Weng-Ming Chu et al. This is an open access article distributed under the Creative Commons

A New Approach to Determine the Critical Path in Stochastic Activity Network

2014; Accepted 13 April 2014; Published 14 May 2014 Academic Editor: Her-Terng Yau Copyright © 2014 Weng-Ming Chu et al. This is an open access article distributed under the Creative Commons

A New Method to Prove and Find Analytic Inequalities

We present a new method to study analytic inequalities. As for its applications, we prove the well-known Hölder inequality and establish several new analytic inequalities.

A New Method to Study Analytic Inequalities

Teachers College , Huzhou 313000 , China Correspondence should be addressed to Yu-Ming Chu, We present a new method to study analytic inequalities involving n variables. Regarding its applications, we

A Note on Jordan, Adamović-Mitrinović, and Cusa Inequalities

November 2013; Accepted 17 February 2014; Published 31 March 2014 Academic Editor: Soon-Yeong Chung Copyright © 2014 Zhen-Hang Yang and Yu-Ming Chu. This is an open access article distributed under the

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

A Null Mutation of the Serotonin 6 Receptor Alters Acute Responses to Ethanol

The anatomical distribution and pharmacology of serotonin 6 receptors (5-HT6Rs) implicate them as contributors to the serotonergic regulation of complex behavior. To complement the limited range of pharmacological tools available to examine 5-HT6R function, we have generated a mouse line bearing a constitutive null mutation of the 5-HT6R gene. No perturbations of baseline...

A Reversible Steganography Scheme of Secret Image Sharing Based on Cellular Automata and Least Significant Bits Construction

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...

A Sharp Double Inequality between Harmonic and Identric Means

Mathematics, Hangzhou Normal University, Hangzhou 310012, China Received 31 May 2011; Accepted 6 August 2011 Academic Editor: Ondřej Došlý Copyright © 2011 Yu-Ming Chu et al. This is an open access article

A Sharp Double Inequality between Harmonic and Identric Means

Mathematics, Hangzhou Normal University, Hangzhou 310012, China Received 31 May 2011; Accepted 6 August 2011 Academic Editor: Ondřej Došlý Copyright © 2011 Yu-Ming Chu et al. This is an open access article

A Sharp Double Inequality for Trigonometric Functions and Its Applications

We present the best possible parameters and such that the double inequality holds for any . As applications, some new analytic inequalities are established.

A Sharp Lower Bound for Toader-Qi Mean with Applications

October 2015; Revised 10 December 2015; Accepted 24 December 2015 Academic Editor: Kehe Zhu Copyright © 2016 Zhen-Hang Yang and Yu-Ming Chu. This is an open access article distributed under the Creative

A Sharp Lower Bound for Toader-Qi Mean with Applications

October 2015; Revised 10 December 2015; Accepted 24 December 2015 Academic Editor: Kehe Zhu Copyright © 2016 Zhen-Hang Yang and Yu-Ming Chu. This is an open access article distributed under the Creative