Results 21 to 30 of about 18,915 (259)
A Gauss type functional equation
International Journal of Mathematics and Mathematical Sciences, 2001 Gauss' functional equation (used in the study of the arithmetic-geometric mean) is generalized by replacing the arithmetic mean and the geometric mean by two arbitrary means.
Silvia Toader +2 more
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On a result of Cartwright and Field
Journal of Inequalities and Applications, 2018 Let Mn,r=(∑i=1nqixir)1r $M_{n,r}=(\sum_{i=1}^{n}q_{i}x_{i}^{r})^{\frac{1}{r}}$, r≠0 $r\neq 0$, and Mn,0=limr→0Mn,r $M_{n,0}= \lim_{r \rightarrow 0}M_{n,r}$ be the weighted power means of n non-negative numbers xi $x_{i}$, 1≤i≤n $1 \leq i \leq n$, with qi>
Peng Gao
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Optimal bounds for Seiffert-like elliptic integral mean by harmonic, geometric, and arithmetic means
Journal of Inequalities and Applications, 2022 In this article, we present the optimal bounds for a special elliptic integral mean in terms of the harmonic combinations of harmonic, geometric, and arithmetic means.
Fan Zhang, Weimao Qian, Hui Zuo Xu
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EXTENSION OF THE REFINED GIBBS INEQUALITY
Проблемы анализа, 2017 In this note, we give an extension of the refined Gibbs' inequality containing arithmetic and geometric means. As an application, we obtain converse and refinement of the arithmetic-geometric mean inequality.
Vandanjav Adiyasuren, Tserendorj Batbold
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Hyperelliptic integrals and generalized arithmetic–geometric mean [PDF]
The Ramanujan Journal, 2012 Consider \(d=2g+2\) real numbers (there is ultimately no real loss of generality in assuming that \(d\) is even ...
Spandaw, J. (author) +1 more
openaire +4 more sources
Comments on the calculation of the specific growth rate in experiments with untagged individuals
Scientia Marina, 2015 The specific growth rate, G, is widely used in articles dealing with the growth of aquatic organisms under experimental conditions. When individuals are untagged, the arithmetic mean of G for a group of animals must be calculated from weight geometric ...
Lorenzo Márquez +5 more
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Operator iteration on the Young inequality
Journal of Inequalities and Applications, 2016 In this paper, we employ iteration on operator version of the famous Young inequality and obtain more arithmetic-geometric mean inequalities and the reverse versions for positive operators.
Xianhe Zhao, Le Li, Hongliang Zuo
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Studies on the Moisture Dependent Physical Properties of Cowpea
Journal of Engineering, 2023 Cowpea is a very important legume in Nigeria that is being utilized to Substitute high-cost animal protein for low-income people. The knowledge of some physical properties of various moisture contents is of utmost importance in the design of its ...
Abubakar A. J. +3 more
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A necessary and sufficient condition for the inequality of generalized weighted means
Journal of Inequalities and Applications, 2016 We present in this paper a necessary and sufficient condition to establish the inequality between generalized weighted means which share the same sequence of numbers but differ in the weights.
Mateu Sbert, Jordi Poch
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Generalization of Some Integral Inequalities for Arithmetic Harmonically Convex Functions
Cumhuriyet Science Journal, 2022 In this study, by using an integral identity, Hölder integral inequality and modulus properties we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose derivatives in absolute value at certain power are ...
Huriye Kadakal
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