Results 131 to 140 of about 38,693 (157)

An Optimal Power Mean Inequality for the Complete Elliptic Integrals

Applied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miao-Kun Wang, Yu-Ming Chu, Song-Liang Qiu   +2 more
exaly   +2 more sources

A Power Mean Inequality Involving the Complete Elliptic Integrals

Rocky Mountain Journal of Mathematics, 2014
In this paper the authors investigate a power mean inequality for a special function which is defined by the complete elliptic integrals.
Yu-Ming Chu, Xiaohui Zhang, Gendi Wang
exaly   +5 more sources

Some of the next articles are maybe not open access.

Related searches:

On Refinements of Some Integral Inequalities Using Improved Power-Mean Integral Inequalities

Numerical Methods for Partial Differential Equations, 2020
AbstractIn this study, using power‐mean inequality and improved power‐mean integral inequality better approach than power‐mean inequality and an identity for differentiable functions, we get inequalities for functions whose derivatives in absolute value at certain power are convex.
Huriye Kadakal
exaly   +3 more sources

Generalization and Sharpness of the Power Means Inequality and Their Applications

Journal of Mathematical Analysis and Applications, 2005
The main results of the paper sharpen the classical well-known inequalities between power means. As a consequence, the inequality \[ \left(\sum_{i=1}^n x_i\right)^n \leq (n-1)^{n-1} \sum_{i=1}^n x_i^n + n\big(n^{n-1}-(n-1)^{n-1}\big)\prod_{i=1}^n x_i \] is proved for all \(x_1,\dots,x_n>0\), \(n\geq2\), which was conjectured by \textit{W. Janous, M. K.
Shanhe Wu
exaly   +2 more sources

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/
Xin-Min Zhang
exaly   +3 more sources

Some Matrix Inequalities for Weighted Power Mean [PDF]

Annals of Functional Analysis, 2016
In this paper, we prove that, for any positive definite matrices A,B, and real numbers ν,μ,p with −1 ...
Maryam Khosravi
exaly   +3 more sources

Two Optimal Double Inequalities Between Power Mean and Logarithmic Mean

Computers and Mathematics With Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu-Ming Chu, Wei-Feng Xia
exaly   +4 more sources

The reverse Hölder inequality for power means

Journal of Mathematical Sciences, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Didenko, Viktor D., Korenovskyi, Anatolii A.   +1 more
openaire   +2 more sources

A New Sharp Double Inequality for Generalized Heronian, Harmonic and Power Means

Computers and Mathematics With Applications, 2012
For a real number $p$, let $M_p(a, b)$ denote the usual power mean of order $p$ of positive real numbers $a$ and $b$. Further, let $H=M_{; ; ; -1}; ; ; $ and $He_{; ; ; \alpha}; ; ; = \alpha M_0 + (1 - \alpha) M_1$ for $\alpha \in [0, 1]$. We prove that the double mixed-means inequality \[ M_{; ; ; -\frac{; ; ; \alpha}; ; ; {; ; ; 2}; ; ; }; ; ; (a, b)
Aleksandra Čižmešija
exaly   +6 more sources

Power means and the reverse Hölder inequality

Studia Mathematica, 2011
Let w be a non-negative measurable function defined on the positive semi-axis and satisfying the reverse Holder inequality with exponents 0 0, are obtained for various exponents α. As a result, for the function w a property of the self-improvement of the summability exponents is established.
Victor D. Didenko, Anatolii A. Korenovskyi   +1 more
openaire   +1 more source