Results 31 to 40 of about 9,985,560 (316)

Exact inequalities involving power mean, arithmetic mean and identric mean

open access: yesJournal of Numerical Analysis and Approximation Theory, 2011
For \(p\in \mathbb{R}\), the power mean \(M_{p}(a,b)\) of order \(p\), identric mean \(I(a,b)\) and arithmetic mean \(A(a,b)\) of two positive real numbers \(a\) and \(b\) are defined by \begin{equation*} M_{p}(a,b)= \begin{cases} \displaystyle\left(
Yu-ming Chu, Ming-yu Shi, Yue-ping Jiang
doaj   +2 more sources

A necessary and sufficient condition for the inequality of generalized weighted means

open access: yesJournal 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
doaj   +1 more source

Arithmetic-Geometric Mean Robustness for Control from Signal Temporal Logic Specifications [PDF]

open access: yesAmerican Control Conference, 2019
We present a new average-based robustness for Signal Temporal Logic (STL) and a framework for optimal control of a dynamical system under STL constraints.
N. Mehdipour, C. Vasile, C. Belta
semanticscholar   +1 more source

Optimal bounds for Seiffert-like elliptic integral mean by harmonic, geometric, and arithmetic means

open access: yesJournal 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
doaj   +1 more source

The Weighted Arithmetic Mean-Geometric Mean Inequality is Equivalent to the Hölder Inequality

open access: yesSymmetry, 2018
In the current note, we investigate the mathematical relations among the weighted arithmetic mean–geometric mean (AM–GM) inequality, the Hölder inequality and the weighted power-mean inequality. Meanwhile, the proofs of mathematical equivalence among the
Yong-Tao Li, Xian-Ming Gu, Jianxing Zhao
semanticscholar   +1 more source

Arithmetic coding revisited [PDF]

open access: yes, 1998
Over the last decade, arithmetic coding has emerged as an important compression tool. It is now the method of choice for adaptive coding on multisymbol alphabets because of its speed, low storage requirements, and effectiveness of compression.
Neal, Radford M.   +5 more
core   +1 more source

Statistical analysis of solid waste composition data: Arithmetic mean, standard deviation and correlation coefficients.

open access: yesWaste Management, 2017
Data for fractional solid waste composition provide relative magnitudes of individual waste fractions, the percentages of which always sum to 100, thereby connecting them intrinsically.
Maklawe Essonanawe Edjabou   +3 more
semanticscholar   +1 more source

Higher Dimensional Adeles, Mean-Periodicity and Zeta Functions of Arithmetic Surfaces

open access: yes, 2014
This thesis is concerned with the analytic properties of arithmetic zeta functions, which remain largely conjectural at the time of writing. We will focus primarily on the most basic amongst them - meromorphic continuation and functional equation.
Oliver, T.
core   +3 more sources

Further Improved Weighted Arithmetic-Geometric Operator Mean Inequalities

open access: yesMathematics, 2019
The main purpose of this paper is to present some weighted arithmetic-geometric operator mean inequalities. These inequalities are refinements and generalizations of the corresponding results.
Jianming Xue, Xingkai Hu
doaj   +1 more source

Additive Refinements and Reverses of Young's Operator Inequality Via a Result of Cartwright and Field

open access: yesUniversal Journal of Mathematics and Applications, 2021
In this paper we obtain some new additive refinements and reverses of Young's operator inequality via a result of Cartwright and Field. Comparison with other additive Young's type inequalities are also provided.
Sever Dragomır
doaj   +1 more source

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