Results 121 to 130 of about 439 (136)

Optimal Lehmer Mean Bounds for the Toader Mean

Results in Mathematics, 2011
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Miao-Kun Wang, Yuming Chu
exaly   +2 more sources

Optimal evaluation of a Toader-type mean by power mean [PDF]

Journal of Inequalities and Applications, 2015
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Yuming Chu, Tiehong Zhao, Ying-Qing Song   +2 more
exaly   +2 more sources

Sharp Bounds for Toader-Type Means in Terms of Two-Parameter Means

Acta Mathematica Scientia, 2021
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Yuming Chu
exaly   +2 more sources

A double inequality for bounding Toader mean by the centroidal mean [PDF]

Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2014
In the paper, the authors find the best numbers $α$ and $β$ such that $$ \overline{C}\bigl(αa+(1-α)b,αb+(1-α)a\bigr)0$ with $a\ne b$, where $\overline{C}(a,b)={2\bigl(a^2+ab+b^2\bigr)}{3(a+b)}$ and $T(a,b)=\frac{2}π\int_{0}^{π/{2}}\sqrt{a^2{\cos^2θ}+b^2{\sin^2θ}}\,dθ$ denote respectively the centroidal mean and Toader mean of two positive numbers $a ...
Feng Qi
exaly   +3 more sources

Sharp bounds for the Toader mean in terms of arithmetic and geometric means

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021
The authors offer sharp lower and upper bounds for a mean of two arguments considered by \textit{G. Toader} [J. Math. Anal. Appl. 218, No. 2, 358--368 (1998; Zbl 0892.26015)], in terms of the arithmetic and geometric mean. In the proofs, the well-known connection between the Toader mean and the complete elliptic integral of second type is used. A basic
Jing-Feng Tian, Zhen-Hang Yang
exaly   +3 more sources

Sharp generalized Seiffert mean bounds for the Toader mean of order 4

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021
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Tiehong Zhao, Yanlin Li
exaly   +3 more sources

BOUNDS FOR A TOADER-TYPE MEAN BY ARITHMETIC AND CONTRAHARMONIC MEANS [PDF]

International Journal of Pure and Applied Mathematics, 2015
N. Li, T. Zhao, Y. Zhao
exaly   +2 more sources

Optimal Convex Combination Bounds for Toader Mean

Asian Research Journal of Mathematics, 2018
Fang Jin, Hui-Zuo Xu
exaly   +2 more sources

Optimal combinations bounds of root-square and arithmetic means for Toader mean

Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2012
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Miao-Kun Wang, Yuming Chu, Song-Liang Qiu   +2 more
exaly   +3 more sources

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

Journal of Inequalities and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuming Chu, Wei-Mao Qian
exaly   +3 more sources