Results 41 to 50 of about 329 (93)
Optimal Lower Generalized Logarithmic Mean Bound for the Seiffert Mean
Journal of Applied Mathematics, Volume 2013, Issue 1, 2013., 2013 We present the greatest value p such that the inequality P(a, b) > Lp(a, b) holds for all a, b > 0 with a ≠ b, where P(a, b) and Lp(a, b) denote the Seiffert and pth generalized logarithmic means of a and b, respectively.
Ying-Qing Song +4 more
wiley +1 more source
A new way to prove L'Hospital Monotone Rules with applications [PDF]
, 2014 Let $-\infty \leq ...
Yang, Zhen-Hang
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The monotonicity results and sharp inequalities for some power-type means of two arguments [PDF]
, 2012 For $a,b>0$ with $a\neq b$, we define M_{p}=M^{1/p}(a^{p},b^{p})\text{if}p\neq 0 \text{and} M_{0}=\sqrt{ab}, where $M=A,He,L,I,P,T,N,Z$ and $Y$ stand for the arithmetic mean, Heronian mean, logarithmic mean, identric (exponential) mean, the first ...
Mp M, Zhen-hang Yang
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New Upper Bounds in the Second Kershaw's Double Inequality and its Generalizations [PDF]
, 2007 In the paper, new upper bounds in the second Kershaw’s double inequality and its generalizations involving the gamma, psi and polygamma functions are established, some known results are ...
Guo, Senlin, Qi, Feng
core
Bounds for the Ratios of Differences of Power Means in Two Arguments
, 2010 Using methods from classical analysis, sharp bounds for the ratio of differences of Power Means are obtained. Our results generalize and extend previous ones due to S. Wu(2005), and to S. Wu and L.
Kouba, Omran
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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
doaj +2 more sources
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
doaj
Monotonicity and Inequalities for Ratio of the Generalized Logarithmic Means [PDF]
, 2003 Let c > b > a > 0 be real numbers. Then the function f(r) = Lr(a,b)/Lr(a,c) is strictly decreasing on (−∞,∞), where Lr(a, b) denotes the generalized (extended) logarithmic mean of two positive numbers a and ...
Chen, Chao-Ping, Qi, Feng
core
Some new inequalities of Hermite-Hadamard's type
, 2010 In this paper, we establish several new inequalities for some differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality.
Saglam, A. +2 more
core +1 more source
Another Converse of Jensen's Inequality [PDF]
, 2009 We give the best possible global bounds for a form of discrete Jensen’s inequality.
Simic, Slavko
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