Results 61 to 70 of about 902,467 (342)

Hessian and concavity of mutual information, differential entropy, and entropy power in linear vector Gaussian channels

open access: yes, 2009
Within the framework of linear vector Gaussian channels with arbitrary signaling, closed-form expressions for the Jacobian of the minimum mean square error and Fisher information matrices with respect to arbitrary parameters of the system are calculated ...
Daniel P. Palomar   +2 more
core   +3 more sources

Peak to average power reduction using amplitude and sign adjustment [PDF]

open access: yes, 2004
In this paper, we propose a method to reduce the peak to mean envelope power ratio (PMEPR) of multicarrier signals by modifying the constellation. For MPSK constellations, we minimize the maximum of the multicarrier signal over the sign and amplitude ...
Fazel, Maryam   +3 more
core   +1 more source

Sharp bounds by the power mean for the generalized Heronian mean

open access: yesJournal of Inequalities and Applications, 2012
In this article, we answer the question: For p, ω ∈ ℝ with ω > 0 and p(ω - 2) ≠ 0, what are the greatest value r1 = r1(p, ω) and the least value r2 = r2(p, ω) such that the double inequality Mr1a,b 0 with a ≠ b?
Yong-Min Li, B. Long, Y. Chu
semanticscholar   +2 more sources

Some new generalized κ–fractional Hermite–Hadamard–Mercer type integral inequalities and their applications

open access: yesAIMS Mathematics, 2022
In this paper, we have established some new Hermite–Hadamard–Mercer type of inequalities by using κ–Riemann–Liouville fractional integrals. Moreover, we have derived two new integral identities as auxiliary results.
Miguel Vivas-Cortez   +5 more
doaj   +1 more source

Optimal sublinear inequalities involving geometric and power means [PDF]

open access: yesMathematica Bohemica, 2009
There are many relations involving the geometric means $G_n(x)$ and power means $[A_n(x^{\gamma })]^{1/\gamma }$ for positive $n$-vectors $x$. Some of them assume the form of inequalities involving parameters. There then is the question of sharpness, which is quite difficult in general.
Chaobang Gao, Sui Sun Cheng, Jiajin Wen
openaire   +2 more sources

Generalized Fractional Integral Inequalities for $(h,m,s)$-Convex Modified Functions of Second Type [PDF]

open access: yesSahand Communications in Mathematical Analysis
New variants of the Hermite - Hadamard inequality within the framework of generalized fractional integrals for $(h,m,s)$-convex modified second type functions have been obtained in this article. To achieve these results, we used the Holder inequality and
Juan Napoles Valdes, Bahtiyar Bayraktar
doaj   +1 more source

Optimal evaluation of a Toader-type mean by power mean

open access: yes, 2015
In this paper, we present the best possible parameters p,q∈R$p, q\in\mathbb {R}$ such that the double inequality Mp(a,b)0$a, b>0$ with a≠b$a\neq b$, and we get sharp bounds for the complete elliptic integral E(t)=∫0π/2(1−t2sin2θ)1/2dθ$\mathcal{E}(t)=\int
Ying-Qing Song   +3 more
semanticscholar   +1 more source

n–polynomial exponential type p–convex function with some related inequalities and their applications

open access: yesHeliyon, 2020
In this paper, the idea and its algebraic properties of n–polynomial exponential type p–convex function have been investigated. Authors prove new trapezium type inequality for this new class of functions.
Saad Ihsan Butt   +5 more
doaj   +1 more source

Geometric inequalities from phase space translations [PDF]

open access: yes, 2016
We establish a quantum version of the classical isoperimetric inequality relating the Fisher information and the entropy power of a quantum state. The key tool is a Fisher information inequality for a state which results from a certain convolution ...
Anna Vershynina   +9 more
core   +2 more sources

Note on Generalization of Power Means and Their Inequalities

open access: yesJournal of Mathematical Analysis and Applications, 1999
New proofs of two results of the reviewer [J. Math. Anal. Appl. 161, No. 2, 395--404 (1991; Zbl 0753.26009)] are given.
openaire   +2 more sources

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