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Virtual bioequivalence-guided PBBM prediction for ibuprofen/diphenhydramine citrate tablets: impact of dissolution variability and clinical standard development. [PDF]
Wang Z +10 more
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A three terms Arithmetic-Geometric mean
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Comparison of Arithmetic, Geometric, and Harmonic Means
Mathematical Notes, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
L V Rozovsky
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A noncontinuous generalization of the arithmetic–geometric mean
Applied Mathematics and Computation, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anikó Ekárt, Sándor Zoltán Németh
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On arithmetic-geometric-mean polynomials
International Journal of Mathematical Education in Science and Technology, 2016ABSTRACTWe study here an aspect of an infinite set P of multivariate polynomials, the elements of which are associated with the arithmetic-geometric-mean inequality. In particular, we show in this article that there exist infinite subsets of P for which every element may be expressed as a finite sum of squares of real polynomials.
Martin Griffiths, Des MacHale
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Notes on the arithmetic–geometric mean inequality
Aequationes mathematicaeStarting with the scalar inequality \[ |(ab)^{1/2}x+(ab)^{-1/2}y|\le \frac{|ax + b^{-1}y|+|bx + a^{-1}y|}{2}, \] where \(a, b\) are positive real numbers and \(x, y\) are complex numbers, the authors present matrix versions of it and some generalizations.
Al-Natoor, Ahmad +2 more
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The Arithmetic, Geometric and Harmonic Means
1988This chapter is devoted to the properties and inequalities of the classical arithmetic, geometric and harmonic means. In particular the basic inequality between these means, the Geometric Mean-Arithmetic Mean Inequality, is discussed at length with many proofs being given.
P. S. Bullen +2 more
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The Arithmetic-Geometric Mean of Gauss
1997This paper is an expository account of the arithmetic-geometric mean M(a,b) of two numbers a,b. For \(a,b>0\) define \(a_ 0=a\), \(b_ 0=b\) and \(a_{n+1}=(a_ n+b_ n)/2,\quad b_{n+1}=(a_ nb_ n)^{1/2},\quad n=0,1,2,\ldots.\) It follows by elementary methods that the two sequences \(a_ n\), \(b_ n\) have a common limit M(a,b).
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