Results 1 to 10 of about 315 (64)
Sharp two-parameter bounds for the identric mean [PDF]
Journal of Inequalities and Applications, 2018 For t∈[0,1/2] $t\in [0,1/2]$ and s≥1 $s\ge 1$, we consider the two-parameter family of means Qt,s(a,b)=Gs(ta+(1−t)b,(1−t)a+tb)A1−s(a,b), $$ Q_{t,s}(a,b)=G^{s}\bigl(ta+(1-t)b,(1-t)a+tb\bigr)A^{1-s}(a,b), $$ where A and G denote the arithmetic and ...
Omran Kouba
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Some Comparison Inequalities for Generalized Muirhead and Identric Means [PDF]
Journal of Inequalities and Applications, 2010 For x,y>0, a,b∈ℝ, with a+b≠0, the generalized Muirhead mean M(a,b;x,y) with parameters a and b and the identric mean I(x,y) are defined by M(a,b;x,y)=((xayb+xbya)/2)1/(a+b) and I(x,y)=(1/e)(yy/xx)1/(y−x), x ...
Yu-Ming Chu, Miao-Kun Wang, Ye-Fang Qiu
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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 +2 more
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Bounds of the Neuman-Sándor Mean Using Power and Identric Means [PDF]
Abstract and Applied Analysis, 2013 In this paper we find the best possible lower power mean bounds for the Neuman-Sándor mean and present the sharp bounds for the ratio of the Neuman-Sándor and identric means.
Yu-Ming Chu, Bo-Yong Long
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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.
Sandor J., Bhayo B. A.
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On some inequalities for the identric, logarithmic and related means [PDF]
Journal of Mathematical Inequalities, 2015 We offer new proofs, refinements as well as new results related to classical means of two variables, including the identric and logarithmic means.Comment:
Bhayo, Barkat Ali, Sándor, József
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On Some Intermediate Mean Values [PDF]
International Journal of Mathematics and Mathematical Sciences, 2013 We give a necessary and sufficient mean condition for the quotient of two Jensen functionals and define a new class of mean values where are continuously differentiable convex functions satisfying the relation , .
Slavko Simic
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Exact inequalities involving power mean, arithmetic mean and identric mean
Journal of Numerical Analysis and Approximation Theory, 2011 For \(p\in \mathbb{R}\), the power mean \(M_{p}(a,b)\) of order \(p\), identric mean \(I(a,b)\) and arithmetic mean \(A(a,b)\) of two positive real numbers \(a\) and \(b\) are defined by \begin{equation*} M_{p}(a,b)= \begin{cases} \displaystyle\left(
Yu-ming Chu, Ming-yu Shi, Yue-ping Jiang
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New sharp bounds for logarithmic mean and identric mean [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhen-Hang Yang
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Best Possible Bounds for Neuman-Sándor Mean by the Identric, Quadratic and Contraharmonic Means [PDF]
Abstract and Applied Analysis, 2013 We prove that the double inequalities Iα1(a,b)Q1-α1(a,b)
Tie-Hong Zhao +3 more
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