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Search Results: 1 - 10 of 88357 matches for " Yu-Ming Chu "
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A New Method to Study Analytic Inequalities
Xiao-Ming Zhang,Yu-Ming Chu
Journal of Inequalities and Applications , 2010, DOI: 10.1155/2010/698012
Abstract: We present a new method to study analytic inequalities involving n variables. Regarding its applications, we proved some well-known inequalities and improved Carleman's inequality.
Multiplicative Concavity of the Integral of Multiplicatively Concave Functions
Chu Yu-Ming,Zhang Xiao-Ming
Journal of Inequalities and Applications , 2010,
Abstract: We prove that is multiplicatively concave on if is continuous and multiplicatively concave.
Multiplicative Concavity of the Integral of Multiplicatively Concave Functions
Yu-Ming Chu,Xiao-Ming Zhang
Journal of Inequalities and Applications , 2010, DOI: 10.1155/2010/845390
Abstract: We prove that G(x,y)=|∫yxf(t)dt| is multiplicatively concave on [a,b]×[a,b] if f:[a,b] (0,∞)→(0,∞) is continuous and multiplicatively concave.
A New Method to Study Analytic Inequalities
Zhang Xiao-Ming,Chu Yu-Ming
Journal of Inequalities and Applications , 2010,
Abstract: We present a new method to study analytic inequalities involving variables. Regarding its applications, we proved some well-known inequalities and improved Carleman's inequality.
Best Possible Inequalities between Generalized Logarithmic Mean and Classical Means
Yu-Ming Chu,Bo-Yong Long
Abstract and Applied Analysis , 2010, DOI: 10.1155/2010/303286
Abstract: We answer the question: for α,β,γ∈(0,1) with α
Optimal Lower Power Mean Bound for the Convex Combination of Harmonic and Logarithmic Means
Yu-Ming Chu,Shan-Shan Wang,Cheng Zong
Abstract and Applied Analysis , 2011, DOI: 10.1155/2011/520648
Abstract: We find the least value ∈(0,1) and the greatest value =() such that (,)
Sharp Bounds for Seiffert Mean in Terms of Contraharmonic Mean
Yu-Ming Chu,Shou-Wei Hou
Abstract and Applied Analysis , 2012, DOI: 10.1155/2012/425175
Abstract: We find the greatest value and the least value in (1/2,1) such that the double inequality (
Logarithmically Complete Monotonicity Properties Relating to the Gamma Function
Tie-Hong Zhao,Yu-Ming Chu,Hua Wang
Abstract and Applied Analysis , 2011, DOI: 10.1155/2011/896483
Abstract: We prove that the function ,()=Γ(
Inequalities between Arithmetic-Geometric, Gini, and Toader Means
Yu-Ming Chu,Miao-Kun Wang
Abstract and Applied Analysis , 2012, DOI: 10.1155/2012/830585
Abstract: We find the greatest values 1, 2 and least values 1, 2 such that the double inequalities 1(,)<(,)<1(,) and 2(,)<(,)<2(,) hold for all ,>0 with ≠ and present some new bounds for the complete elliptic integrals. Here (,), (,), and (,) are the arithmetic-geometric, Toader, and th Gini means of two positive numbers and , respectively.
On the Fractional Difference Equations of Order
Jin-Fa Cheng,Yu-Ming Chu
Abstract and Applied Analysis , 2011, DOI: 10.1155/2011/497259
Abstract: This paper presents a kind of new definition of fractional difference, fractional summation, and fractional difference equations and gives methods for explicitly solving fractional difference equations of order (2,).
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