Advanced search    

Search: authors:"Ming Chu"

253 papers found.
Use AND, OR, NOT, +word, -word, "long phrase", (parentheses) to fine-tune your search.

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

The Schur-Convexity of the Generalized Muirhead-Heronian Means

We give a unified generalization of the generalized Muirhead means and the generalized Heronian means involving three parameters. The Schur-convexity of the generalized Muirhead-Heronian means is investigated. Our main result implies the sufficient conditions of the Schur-convexity of the generalized Heronian means and the generalized Muirhead means.

The Schur-Convexity of the Generalized Muirhead-Heronian Means

We give a unified generalization of the generalized Muirhead means and the generalized Heronian means involving three parameters. The Schur-convexity of the generalized Muirhead-Heronian means is investigated. Our main result implies the sufficient conditions of the Schur-convexity of the generalized Heronian means and the generalized Muirhead means.

Sharp Bounds for Neuman Means by Harmonic, Arithmetic, and Contraharmonic Means

We give several sharp bounds for the Neuman means and ( and ) in terms of harmonic mean H (contraharmonic mean C) or the geometric convex combination of arithmetic mean A and harmonic mean H (contraharmonic mean C and arithmetic mean A) and present a new chain of inequalities for certain bivariate means.

Monotonicity of the Ratio of the Power and Second Seiffert Means with Applications

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.

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 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.

Sharp Inequalities for Trigonometric Functions

We establish several sharp inequalities for trigonometric functions and present their corresponding inequalities for bivariate means.

Sharp Inequalities for Trigonometric Functions

We establish several sharp inequalities for trigonometric functions and present their corresponding inequalities for bivariate means.

Sharp Inequalities for Trigonometric Functions

We establish several sharp inequalities for trigonometric functions and present their corresponding inequalities for bivariate means.

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

Refinements of Bounds for Neuman Means

, 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

Refinements of Bounds for Neuman Means

, 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

On Certain Inequalities for Neuman-Sándor Mean

Computation Sciences, Hunan City University, Yiyang 413000, China Received 2 March 2013; Accepted 14 April 2013 Academic Editor: Josef Diblík Copyright © 2013 Wei-Mao Qian and Yu-Ming Chu. This is an open

On Certain Inequalities for Neuman-Sándor Mean

We present several new sharp bounds for Neuman-Sándor mean in terms of arithmetic, centroidal, quadratic, harmonic root square, and contraharmonic means.

On Certain Inequalities for Neuman-Sándor Mean

Computation Sciences, Hunan City University, Yiyang 413000, China Received 2 March 2013; Accepted 14 April 2013 Academic Editor: Josef Diblík Copyright © 2013 Wei-Mao Qian and Yu-Ming Chu. This is an open

Best Possible Bounds for Neuman-Sándor Mean by the Identric, Quadratic and Contraharmonic Means

We prove that the double inequalities hold for all with if and only if , , , and , where , , , and are the identric, Neuman-Sándor, quadratic, and contraharmonic means of and , respectively.

Bounds for the Combinations of Neuman-Sándor, Arithmetic, and Second Seiffert Means in terms of Contraharmonic Mean

We give the greatest values , and the least values , in (1/2, 1) such that the double inequalities and hold for any and all with , where , , and are the arithmetic, Neuman-Sándor, contraharmonic, and second Seiffert means of and , respectively.