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Sharp Bounds for Toader Mean in Terms of Arithmetic, Quadratic, and Neuman Means [PDF]

Journal of Inequalities and Applications, 2015
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Yu-Ming Chu
exaly   +3 more sources

A New Chain of Inequalities Involving the Toader-Qi, Logarithmic and Exponential Means

Applicable Analysis and Discrete Mathematics, 2021
In this paper, we establish an interesting chain of sharp inequalities involving Toader-Qi mean, exponential mean, logarithmic mean, arithmetic mean and geometric mean. This greatly improves some existing results.
Jing-Feng Tian, Zhen-Hang Yang
exaly   +4 more sources

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Sharp Bounds for the Toader Mean of Order 3 in Terms of Arithmetic, Quadratic and Contraharmonic Means

Mathematica Slovaca, 2020
Abstract In the article, we present the best possible parameters α 1, β 1, α 2, β 2 ∈ ℝ and α 3, β 3 ∈ [1/2, 1] such that the double inequalities
Yu-Ming Chu, Tiehong Zhao, Honghu Chu
exaly   +3 more sources

A Double Inequality for the Combination of Toader Mean and the Arithmetic Mean in Terms of the Contraharmonic Mean

Publications De L'Institut Mathematique, 2016
We find the greatest value ? and the least value ? such that the double inequality C(?a +(1-?)b, ?b + (1-?)a) < ?A(a,b) + (1-?)T(a, b)< C(?a + (1-?)b, ?b + (1-?)a) holds for all ? ? (0,1) and a, b > 0 with a ? b, where C(a,b), A(a,b), and T(a,b) denote respectively the contraharmonic, arithmetic, and Toader means of two positive ...
Feng Qi, Wei-Dong Jiang
exaly   +4 more sources

Optimal Bounds for a Toader-Type Mean in Terms of One-Parameter Quadratic and Contraharmonic Means

Journal of Nonlinear Science and Applications, 2016
Yu-Ming Chu, Honghu Chu, Ying-Qing Song
exaly   +3 more sources

Optimal Lehmer Mean Bounds for the Toader Mean

Results in Mathematics, 2012
Miao-Kun Wang, Yu-Ming Chu
exaly  

Sharp bounds for the Toader mean by two classes of exponential-type means with applications

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
Tiehong Zhao, Miaokun Wang
openaire   +1 more source