Results 21 to 30 of about 311,275 (193)

Generalized power means and interpolating inequalities [PDF]

Proceedings of the American Mathematical Society, 1999
Let \(Q_n\subset\mathbb{R}_+^n\) (\(n\geq 2\)) be a non-empty set and \(\mathbf{f}=(f_1,f_2,\dots,f_m)\), where \(f_i:Q_n\rightarrow\mathbb{R}_+\), \(1\leq i\leq m\), are distinct functions. Let also \(w_i>0\), \(1\leq i\leq m\), and \(\Delta(\mathbf{w})=\Delta (w_1, \dots,w_m)\) be the \((m-1)\)-simplex in \(\mathbb{R}^m\) with vertices \((0,\dots,0,1/
Ku, Hsu-Tung, Ku, Mei-Chin, Zhang, Xin-Min   +2 more
openaire   +2 more sources

Optimal sublinear inequalities involving geometric and power means [PDF]

Mathematica Bohemica, 2009
Summary: There are many relations involving the geometric means \(G_{n}(x)\) and power means \([A_{n}(x^{\gamma })]^{1/\gamma }\) for positive \(n\)-vectors \(x\). Some of them assume the form of inequalities involving parameters. There then is the question of sharpness, which is quite difficult in general.
Wen, Jiajin, Cheng, Sui Sun, Gao, Chaobang   +2 more
openaire   +2 more sources

Newton–Simpson-type inequalities via majorization

Journal of Inequalities and Applications, 2023
In this article, the main objective is construction of fractional Newton–Simpson-type inequalities with the concept of majorization. We established a new identity on estimates of definite integrals utilizing majorization and this identity will lead us to
Saad Ihsan Butt, Iram Javed, Praveen Agarwal, Juan J. Nieto   +3 more
doaj   +1 more source

Redistribution, power sharing and inequality concern

Social Choice and Welfare, 2021
We analyze a political competition model of redistributive policies. We provide an equilibrium existence result and a full characterization of the net transfers to the different income groups.
Dario Debowicz, A. Saporiti, Yizhi Wang
semanticscholar   +1 more source

Properties of distance spaces with power triangle inequalities

Karpatsʹkì Matematičnì Publìkacìï, 2016
Metric spaces provide a framework for analysis and have several very useful properties. Many of these properties follow in part from the  triangle inequality.
D. Greenhoe
doaj   +1 more source

Fractional Ostrowski Type Inequalities via $\phi-\lambda-$Convex Function [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we aim to  state well-known Ostrowski inequality via fractional Montgomery identity for the class of $\phi-\lambda-$ convex functions. This generalized class of convex function contains other well-known convex functions from literature ...
Ali Hassan, Asif Khan
doaj   +1 more source

On new general inequalities for s-convex functions and their applications

Journal of Inequalities and Applications, 2023
In this work, we established some new general integral inequalities of Hermite–Hadamard type for s-convex functions. To obtain these inequalities, we used the Hölder inequality, power-mean integral inequality, and some generalizations associated with ...
Çetin Yildiz, Büşra Yergöz, Abdulvahit Yergöz   +2 more
doaj   +1 more source

Refinement of Discrete Lah–Ribarič Inequality and Applications on Csiszár Divergence

Mathematics, 2022
In this paper we give a new refinement of the Lah–Ribarič inequality and, using the same technique, we give a refinement of the Jensen inequality. Using these results, a refinement of the discrete Hölder inequality and a refinement of some inequalities ...
Đilda Pečarić, Josip Pečarić, Jurica Perić   +2 more
doaj   +1 more source

Optimal evaluations for the S\'{a}ndor-Yang mean by power mean [PDF]

, 2015
In this paper, we prove that the double inequality $M_{p}(a,b) 0$ with $a\neq b$ if and only if $p\leq 4\log 2/(4+2\log 2-\pi)=1.2351\cdots$ and $q\geq 4/3$, where $% M_{r}(a,b)=[(a^{r}+b^{r})/2]^{1/r}$ $(r\neq 0)$ and $M_{0}(a,b)=\sqrt{ab}$ is the $r$th
Zhen-Hang Yang, Y. Chu
semanticscholar   +1 more source

Weak log-majorization and inequalities of power means

The Electronic Journal of Linear Algebra, 2023
As noncommutative versions of the quasi-arithmetic mean, we consider the Lim-Pálfia's power mean, Rényi right mean, and Rényi power means. We prove that the Lim-Pálfia's power mean of order $t \in [-1,0)$ is weakly log-majorized by the log-Euclidean mean and fulfills the Ando-Hiai inequality.
Miran Jeong, Sejong Kim
openaire   +2 more sources