Results 11 to 20 of about 129 (75)
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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New sharp bounds for identric mean in terms of logarithmic mean and arithmetic mean [PDF]
Journal of Mathematical Inequalities, 2012 Let x,y>0 with xy. We give new sharp bounds for identric mean I =e −1 (x x /y y ) 1/(x−y) in terms of logarithmic mean L =( x −y)/(lnx −lny) and arithmetic mean A =( x+y)/2: 1 2 L p0 + 1 2 A p0 1/p0 < I < 1 2 L ˜ p0 + 1 2 A ˜ p0 1/ ˜ p0 ,
Zhen-Hang Yang
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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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Sharp bounds for Toader-Qi mean in terms of logarithmic and identric means [PDF]
Mathematical Inequalities and Applications, 2016 Zhen-Hang Yang, Yu-Ming Chu
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Two inequalities for means [PDF]
International Journal of Mathematics and Mathematical Sciences, 1995 We prove two new inequalities for the identric mean and a mean related to the arithmetic and geometric mean of two numbers.
J. Sandor
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An optimal double inequality between geometric and identric means
Applied Mathematics Letters, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miao-Kun Wang, Yu-Ming Chu
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New information inequalities on new generalized f-divergence and applications
Le Matematiche, 2015 In this work, we introduce new information inequalities on new generalized f-divergence in terms of well known Chi-square divergence. Further we obtain relations of other standard divergence as an application of new inequalities by using Logarithmic ...
K. C. Jain, Praphull Chhabra
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A separation of some Seiffert-type means by power means
Journal of Numerical Analysis and Approximation Theory, 2012 Consider the identric mean \(\mathcal{I}\), the logarithmic mean \(\mathcal{L,}\) two trigonometric means defined by H. J. Seiffert and denoted by \(\mathcal{P}\) and \(\mathcal{T,}\) and the hyperbolic mean \(\mathcal{M}\) defined by E.
Iulia Costin, Gheorghe Toader
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ON THE GENERALIZED CONVEXITY AND CONCAVITY
Проблемы анализа, 2015 A function ƒ : R+ → R+ is (m1, m2)-convex (concave) if ƒ(m1(x,y)) ≤ (≥) m2(ƒ(x), ƒ(y)) for all x,y Є R+ = (0,∞) and m1 and m2 are two mean functions. Anderson et al.
Bhayo B., Yin L.
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On the identric mean of two accretive matrices
FilomatIntensive studies aiming to extend some matrix means from positive matrices to accretive matrices and to establish some of their properties have been carried out recently. The contribution of this work falls within this framework. We introduce the identric mean of two accretive matrices and we study its properties.
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