Results 31 to 40 of about 703,468 (190)

Testing convex hypotheses on the mean of a Gaussian vector. Application to testing qualitative hypotheses on a regression function [PDF]

, 2005
In this paper we propose a general methodology, based on multiple testing, for testing that the mean of a Gaussian vector in R^n belongs to a convex set. We show that the test achieves its nominal level, and characterize a class of vectors over which the
Baraud, Yannick, Huet, Sylvie, Laurent, Beatrice   +2 more
core   +4 more sources

Quantum Hellinger distances revisited [PDF]

, 2020
This short note aims to study quantum Hellinger distances investigated recently by Bhatia et al. [Lett. Math. Phys. 109 (2019), 1777-1804] with a particular emphasis on barycenters.
Pitrik, József, Virosztek, Dániel
core   +3 more sources

Hermite–Hadamard-type inequalities for geometrically r-convex functions in terms of Stolarsky’s mean with applications to means

Advances in Difference Equations, 2021
In this paper, we obtain new Hermite–Hadamard-type inequalities for r-convex and geometrically convex functions and, additionally, some new Hermite–Hadamard-type inequalities by using the Hölder–İşcan integral inequality and an improved power-mean ...
Muhammad Amer Latif
doaj   +1 more source

Some Bullen-Simpson type inequalities for differentiable s-convex functions [PDF]

Mathematica Moravica
Convexity is one of the fundamental principles of analysis. Over the past few decades, many important inequalities have been established for different classes of convex functions.
Meftah Badreddine, Samoudi Sara
doaj   +1 more source

Some New Bullen-Type Inequalities Obtained via Fractional Integral Operators

Axioms, 2023
In this paper, we establish a new auxiliary identity of the Bullen type for twice-differentiable functions in terms of fractional integral operators.
Asfand Fahad, Saad Ihsaan Butt, Bahtiyar Bayraktar, Mehran Anwar, Yuanheng Wang   +4 more
doaj   +1 more source

Exact inequalities involving power mean, arithmetic mean and identric mean

Journal of Numerical Analysis and Approximation Theory, 2011
For \(p\in \mathbb{R}\), the power mean \(M_{p}(a,b)\) of order \(p\), identric mean \(I(a,b)\) and arithmetic mean \(A(a,b)\) of two positive real numbers \(a\) and \(b\) are defined by \begin{equation*} M_{p}(a,b)= \begin{cases} \displaystyle\left(\tfrac{a^{p}+b^{p}}{2}\right)^{1/p}, & p\neq 0,\\ \sqrt{ab}, & p=0, \end{cases} \quad I(a,b ...
Yu-ming Chu, Ming-yu Shi, Yue-ping Jiang
openaire   +3 more sources

Amplitude and Sign Adjustment for Peak-to-Average-Power Reduction [PDF]

, 2005
In this letter, we propose a method to reduce the peak-to-mean-envelope-power ratio (PMEPR) of multicarrier signals by modifying the constellation. For$M$-ary phase-shift keying constellations, we minimize the maximum of the multicarrier signal over the ...
Fazel, Maryam, Florens, Cedric, Hassibi, Babak, Sharif, Masoud   +3 more
core   +2 more sources

Weak log-majorization and inequalities of power means

The Electronic Journal of Linear Algebra, 2023
As noncommutative versions of the quasi-arithmetic mean, we consider the Lim-Pálfia's power mean, Rényi right mean, and Rényi power means. We prove that the Lim-Pálfia's power mean of order $t \in [-1,0)$ is weakly log-majorized by the log-Euclidean mean and fulfills the Ando-Hiai inequality.
Miran Jeong, Sejong Kim
openaire   +2 more sources

Ostrowski's inequalities for functions whose first derivatives are s-logarithmically preinvex in the second sense [PDF]

Mathematica Moravica, 2018
In this paper, some Ostrowski's inequalities for functions whose first derivatives are s-logarithmically preinvex in the second sense are established.
Badreddine Meftah
doaj  

Some companions of Ostrowski type inequality for functions whose second derivatives are convex and concave with applications

Arab Journal of Mathematical Sciences, 2015
In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute values are convex and concave. Finally, we give some applications for special means.
M. Emin Özdemir, Merve Avci Ardic
doaj   +1 more source