Results 141 to 150 of about 47,370 (280)

On a problem of T. Szostok concerning the Hermite–Hadamard inequalities [PDF]

Journal of Mathematical Analysis and Applications, 2019
In the present paper we solve a problem posed by Tomasz Szostok who asked about the solutions $f$ and $F$ to the system of inequalities $$ f\Big(\frac{x+y}{2}\Big)\leq \frac{F(y)-F(x)}{y-x}\leq \frac{f(x)+f(y)}{2}. $$ We show that $f$ and $F$ are the solutions to the above system of inequalities if and only if $f$ is a continuous convex function and $F$
openaire   +3 more sources

On the Hermite–Hadamard type inequality for ψ-Riemann–Liouville fractional integrals via convex functions

Journal of Inequalities and Applications, 2019
In this paper, we establish a new Hermite–Hadamard inequality involving left-sided and right-sided ψ-Riemann–Liouville fractional integrals via convex functions.
Kui Liu, JinRong Wang, Donal O’Regan
doaj   +1 more source

Maximal violation of Bell's inequality and atomic cascade photons [PDF]

arXiv, 1998
A correlation inequality is derived from local realism and a supplementary assumption. This inequality is violated by a factor of 1.5 in the case of real experiments, whereas previous inequalities such as Clauser-Horne-Shimony-Holt inequality of 1969 and Clauser-Horne inequality of 1974 are violated by a factor of $\sqrt 2$.
arxiv  

Improved Hermite–Hadamard Inequality Bounds for Riemann–Liouville Fractional Integrals via Jensen’s Inequality

Fractal and Fractional
This paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the new and ...
Muhammad Aamir Ali, Wei Liu, Shigeru Furuichi, Michal Fečkan   +3 more
doaj   +1 more source

An Extension of Alzer's Inequality [PDF]

arXiv, 2007
In this article, we obtain two interesting general inequalities concerning Riemman sums of convex functions, which in particular, sharpen Alzer's inequality and give a suitable converse for it.
arxiv  

Properties of Some Sequences of Mappings Associated to the Hermite-Hadamard Inequality [PDF]

, 2002
Sever S Dragomir
openalex   +1 more source

On several new results related to Richard's inequality [PDF]

arXiv
The main study of this article is the characterization of Richard's inequality, because it is closely related to Buzano's inequality. Finally, we present a newapproach for Richard's inequality, where we use the Selberg operator.
arxiv  

One example about the relationship between the CD inequality and CDE' inequality [PDF]

arXiv, 2016
In this paper,we will give an easy example to satisfy that we can not conclude CDE' Inequality just from the CD Inequality.
arxiv  

Ostrowski and Čebyšev type inequalities for interval-valued functions and applications. [PDF]

PLoS One, 2023
Guo J, Zhu X, Li W, Li H.
europepmc   +1 more source

From the Prékopa-Leindler inequality to modified logarithmic Sobolev inequality [PDF]

arXiv, 2007
We develop in this paper an improvement of the method given by S. Bobkov and M. Ledoux. Using the Pr\'ekopa-Leindler inequality, we prove a modified logarithmic Sobolev inequality adapted for all measures on $\dR^n$, with a strictly convex and super-linear potential.
arxiv