Results 11 to 20 of about 185,563 (292)

Sharp Bounds by the Generalized Logarithmic Mean for the Geometric Weighted Mean of the Geometric and Harmonic Means [PDF]

Journal of Applied Mathematics, 2012
We present sharp upper and lower generalized logarithmic mean bounds for the geometric weighted mean of the geometric and harmonic means.
Wei-Mao Qian, Bo-Yong Long
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On bounds of logarithmic mean and mean inequality chain [PDF]

Mathematical Inequalities & Applications
An upper bound of the logarithmic mean is given by a convex combination of the arithmetic mean and the geometric mean. In addition, a lower bound of the logarithmic mean is given by a geometric bridge of the arithmetic mean and the geometric mean. In this paper, we study the bounds of the logarithmic mean.
Furuichi, Shigeru, Amlashi, Mehdi Eghbali   +1 more
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Sharp Bounds for the Weighted Geometric Mean of the First Seiffert and Logarithmic Means in terms of Weighted Generalized Heronian Mean

Abstract and Applied Analysis, 2013
Optimal bounds for the weighted geometric mean of the first Seiffert and logarithmic means by weighted generalized Heronian mean are proved. We answer the question: for what the greatest value and the least value such that the double inequality ...
Ladislav Matejíčka
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Refining Pure-Tone Average Calculations for Reporting Hearing Outcomes: Advocating a Shift to the Logarithmic Mean [PDF]

International Archives of Otorhinolaryngology
Ali Faramarzi
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ON TWO NEW MEANS OF TWO ARGUMENTS III [PDF]

Проблемы анализа, 2018
In this paper we establish two sided inequalities for the following two new means X=X(a,b)=Ae^(G/P−1), Y=Y(a,b)=Ge^(L/A−1), where A, G, L and P are the arithmetic, geometric, logarithmic, and Seiffert means, respectively.
J. Sandor , B. A. Bhayo
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Several sharp inequalities about the first Seiffert mean

Journal of Inequalities and Applications, 2018
In this paper, we deal with the problem of finding the best possible bounds for the first Seiffert mean in terms of the geometric combination of logarithmic and the Neuman–Sándor means, and in terms of the geometric combination of logarithmic and the ...
Boyong Long, Ling Xu, Qihan Wang
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Improvements of Logarithmic and Identric Mean Inequalities for Scalars and Operators

Journal of Applied Mathematics, 2023
In this article, we provide refined inequalities for a convex Riemann’s integrable function using refinements of the classical Hermite-Hadamard inequality.
Aliaa Burqan, Abeer Abu-Snainah, Rania Saadeh   +2 more
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Optimal bounds for Neuman-Sándor mean in terms of the convex combination of the logarithmic and the second Seiffert means

Journal of Inequalities and Applications, 2017
In the article, we prove that the double inequality α L ( a , b ) + ( 1 − α ) T ( a , b ) < NS ( a , b ) < β L ( a , b ) + ( 1 − β ) T ( a , b ) $$ \alpha L(a,b)+(1-\alpha)T(a,b)< \mathit{NS}(a,b)< \beta L(a,b)+(1-\beta)T(a,b) $$ holds for a , b > 0 $a,b>
Jing-Jing Chen, Jian-Jun Lei, Bo-Yong Long   +2 more
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Generalization of Some Integral Inequalities for Arithmetic Harmonically Convex Functions

Cumhuriyet Science Journal, 2022
In this study, by using an integral identity, Hölder integral inequality and modulus properties we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose derivatives in absolute value at certain power are ...
Huriye Kadakal
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Bounds of the logarithmic mean [PDF]

Journal of Inequalities and Applications, 2013
The second assertion in (i) of Proposition 5.2 was modified. (This modification shows our means are better bounds than the standard Riemann sum for the logarithmic mean.)
Furuichi, Shigeru, Yanagi, Kenjiro
openaire   +3 more sources