Results 71 to 80 of about 38,693 (157)

Power means of probability measures and Ando-Hiai inequality

, 2018
Let $μ$ be a probability measure of compact support on the set $\mathbb{P}_n$ of all positive definite matrices, let $t\in(0,1]$, and let $P_t(μ)$ be the unique positive solution of $X=\int_{\mathbb{P}_n}X\sharp_t Z dμ(Z)$. In this paper, we show that $$ P_t(μ)\leq I\quad \Longrightarrow\quad P_{\frac{t}{p}}(ν)\leq P_t(μ)$$ for every $p\geq1$, where $ν(
Kian, Mohsen, Moslehian, Mohammad Sal
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New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals

Boundary Value Problems
The Hermite–Hadamard–Fejér-type inequality is an effective utensil for examining upper and lower estimations of the integrals of convex functions. In this study, the power mean inequality and Hölder inequality are employed.
Maria Tariq, Ammara Nosheen, Khuram Ali Khan, Khadijah M. Abualnaja   +3 more
doaj   +1 more source

Power matrix means and related inequalities

Mathematical Communications, 1996
This survey paper contains recent results for power matrix means and related inequalities for convex functions, Hadamard product of matrices as well as some inequalities involving exponential function of matrices.
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Sharp bounds for the tangent mean by weighted power mean of arithmetic and geometric means

Open Mathematics
Using the monotonicity rules for the ratios of two functions (power series), the optimal bounds for the tangent mean in terms of weighted power means of arithmetic and geometric means are obtained.
Xu Hui-Zuo
doaj   +1 more source

On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals

Heliyon
The main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals.
Muhammad Sadaqat Talha, Tasawar Abbas, Zhixiong Li, Amor Rebey, Affaq Ahmed, Sanaa Anjum   +5 more
doaj   +1 more source

Fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated s-preinvex in the second sense

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019
In this paper we establish a new fractional identity involving a function oftwo independent variables, and then we derive some fractionalHermite-Hadamard type integral inequalities for functions whose modulus ofthe mixed derivatives are co-ordinated s ...
Badreddine Meftah, Abdourazek Souahi
doaj  

Fractals, Wealth Distributions, and Non-Euclidean Geometry: Quadrant Lorenz Curves. [PDF]

Entropy (Basel)
Eliazar I.
europepmc   +1 more source

Modeling resource conflict and inequality in fragile systems: A spatial agent-based framework with a Uganda case study. [PDF]

PLoS One
Katende R.
europepmc   +1 more source

Newton-type inequalities for the class of modified hyperbolic p-convex functions via Riemann-Liouville fractional integrals with numerical justifications. [PDF]

PLoS One
Iqra I, Nosheen A, Khan KA, Riaz S, Kahungu MK.   +4 more
europepmc   +1 more source

Inequalities for \(J\)-contractions involving the \(\alpha\)-power mean

, 2009
For a selfadjoint involution matrix \(J\) on \(\mathbb{C}^{n}\), i.e., \(J=J^{*}\) and \(J^{2}=J\), one can consider \(\mathbb{C}^{n}\) with the indefinite Krein space structure endowed by the indefinite inner product \([x,y]:=y^{*}Jx\). Several authors have studied properties of the Krein space, especially, matrix inequalities based on the indefinite ...
openaire   +2 more sources