Results 151 to 160 of about 311,275 (193)

On refinements of some integral inequalities using improved power‐mean integral inequalities

Numerical Methods for Partial Differential Equations, 2020
In 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 ...
H. Kadakal
semanticscholar   +5 more sources

A Power Mean Inequality for the Gamma Function

Monatshefte f�r Mathematik, 2000
In this interesting paper, the author extends a result due to \textit{L. G. Lucht} [Aequationes Math. 39, No. 2/3, 204-209 (1990; Zbl 0705.39002)] on convexity-like inequalities for Euler's gamma function, involving the geometric mean. Let \(x_j>0,\;p_j>0\;(1\leq j\leq n),\;p_1+\cdots +p_n=1\) and \(n\geq 2\).
H. Alzer
semanticscholar   +2 more sources

Generalizations of mixed weighted power mean inequality

Journal of Shanghai University (English Edition), 2006
Let \(x=\left( x_{1},x_{2},\dots ,x_{n}\right) \), \(q=\left( q_{1},q_{2},\dots ,q_{n}\right) ,\) with \(x_{i}>0,q_{i}>0\) \(\left( i=1,2,\dots ,n\right) \) and \(a\) be a real number. Denote \(Q_{n}= \sum_{i=1}^{n}q_{i},\) \[ M_{n}^{[a]}(x;q)=\begin{cases} \left( \frac{1}{Q_{n}}\sum_{i=1}^{n}q_{i}x_{i}^{a}\right) ^{{1}/{a}},&a\neq 0, \\ \left( \prod_ ...
Tong-yi Ma, Hai-juan Zhang
semanticscholar   +3 more sources

Variants of Ando–Hiai inequality for operator power means

Linear and Multilinear Algebra, 2019
It is known that for every and every k-tuple of positive invertible operators , the Ando–Hiai type inequality for operator power means holds, where is the operator norm and is the operator power mean.
M. Kian, M. S. Moslehian, Y. Seo
semanticscholar   +2 more sources

Fractional Ostrowski type inequalities for functions whose certain power of modulus of the first derivatives are pre-quasi-invex via power mean inequality

Journal of Applied Analysis, 2019
In this paper, we establish fractional Ostrowski’s inequalities for functions whose certain power of modulus of the first derivatives are pre-quasi-invex via power mean inequality.
B. Meftah
semanticscholar   +1 more source

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

Matrix inequalities related to power means of probability measures

Linear and Multilinear Algebra, 2021
For a probability measure of compact support μ on the set Pn of all positive definite matrices and t∈(0,1], let Pt(μ) be the unique positive solution of X=∫PnX♯tZdμ(Z).
Mohsen Kian, Mohammad Sal Moslehian
openaire   +1 more source