Results 51 to 60 of about 5,576,128 (87)
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
core
A new way to prove L'Hospital Monotone Rules with applications [PDF]
, 2014 Let $-\infty \leq ...
Yang, Zhen-Hang
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
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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
, 2018 In this paper, we initiated New Average Method with various kinds of mean techniques to solve multi-objective linear programming problem. In this method multi-objective functions are converted into single objective function by using different kinds of ...
Zahidul Islam Sohag, M. Asadujjaman
semanticscholar +1 more source
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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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
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
core
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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