Results 101 to 110 of about 703,468 (190)

Power means of probability measures and Ando-Hiai inequality

open access: yes, 2018
Let $ $ 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 $P_t( )$ be the unique positive solution of $X=\int_{\mathbb{P}_n}X\sharp_t Z d (Z)$. In this paper, we show that $$ P_t( )\leq I\quad \Longrightarrow\quad P_{\frac{t}{p}}( )\leq P_t( )$$ for every $p\geq1 ...
Kian, Mohsen, Moslehian, Mohammad Sal
openaire   +2 more sources

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

open access: yesHeliyon
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   +5 more
doaj   +1 more source

Optimal inequalities involving power-exponential mean, arithmetic mean and geometric mean [PDF]

open access: yesJournal of Mathematical Inequalities, 2017
Zhen-Hang Yang, Jing-Feng Tian
openaire   +1 more source

Scaled evolution of the reversed power mean inequalities

open access: yesFilomat
Motivated by the Hanin inequality, in this paper we study a class of reversed power mean inequalities that does not depend on a weight function. We first give the reverse of the basic power mean inequality describing the monotonic behavior of means. Then, we establish the scaled, i.e. two-parametric versions of the obtained inequalities. By scaling, we
Krnić, Mario   +2 more
openaire   +1 more source

A New Inclusion on Inequalities of the Hermite–Hadamard–Mercer Type for Three-Times Differentiable Functions

open access: yesMathematics
The goal of this study is to develop numerous Hermite–Hadamard–Mercer (H–H–M)-type inequalities involving various fractional integral operators, including classical, Riemann–Liouville (R.L), k-Riemann–Liouville (k-R.L), and their generalized fractional ...
Talib Hussain   +2 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

open access: yesAnnales 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  

Hermite-Hadamard type inequalities for quasi-convex functions via improved power-mean inequality

open access: yes, 2021
In this paper, by using power-mean and improved power-mean integral inequality and an general identity for differentiable functions we can get new estimates on integral inequalities for functions whose derivatives in absolute value at certain power are quasi-convex functions. It is proved that the result obtained improved power-mean integral inequality
openaire   +1 more source

The distribution of power and inclusiveness across deep time. [PDF]

open access: yesSci Adv
Feinman GM   +12 more
europepmc   +1 more source

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