Computation Over Gaussian Networks With Orthogonal Components [PDF]
Function computation of arbitrarily correlated discrete sources over Gaussian networks with orthogonal components is studied. Two classes of functions are considered: the arithmetic sum function and the type function.
Chien-yi Wang +3 more
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Applications of differential subordination for certain subclasses of meromorphically univalent functions defined by rapid operator [PDF]
In this work, we investigate some applications of differential subordination for the class of meromorphic univalent functions defined by rapid operator and obtained coefficient bounds, integral representations, weighted and arithmetic mean for the class ...
Bolineni Venkateswarlu +3 more
doaj +1 more source
Exact inequalities involving power mean, arithmetic mean and identric mean
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
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A necessary and sufficient condition for the inequality of generalized weighted means
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
Traces, ideals, and arithmetic means [PDF]
This article grew out of recent work of Dykema, Figiel, Weiss, and Wodzicki (Commutator structure of operator ideals) which inter alia characterizes commutator ideals in terms of arithmetic means. In this paper we study ideals that are arithmetically mean (am) stable, am-closed, am-open, soft-edged and soft ...
Kaftal, Victor, Weiss, Gary
openaire +3 more sources
Refinements of bounds for the arithmetic mean by new Seiffert-like means
In the article, we present the sharp upper and lower bounds for the arithmetic mean in terms of new Seiffert-like means, which give some refinements of the results obtained in [1].
Wei-Mao Qian, Tie-Hong Zhao, Yu-Pei Lv
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Optimal two-parameter geometric and arithmetic mean bounds for the Sándor–Yang mean
In the article, we provide the sharp bounds for the Sándor–Yang mean in terms of certain families of the two-parameter geometric and arithmetic mean and the one-parameter geometric and harmonic means.
Wei-Mao Qian +3 more
doaj +1 more source
Optimal bounds for Seiffert-like elliptic integral mean by harmonic, geometric, and arithmetic means
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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Equation of Arithmetic Mean Deviation of Roughness Profile
In order to improve the accuracy of gas flowrate measurement by means of the differential pressure flowmeters, it is necessary to apply equations for determination of coefficients of gas flow equation, which would provide the lowest total relative ...
Leonid Lesovoy +2 more
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Further Improved Weighted Arithmetic-Geometric Operator Mean Inequalities
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
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