Results 61 to 70 of about 950,431 (295)

A Simple Proof of the Entropy-Power Inequality via Properties of Mutual Information

open access: yes, 2007
While most useful information theoretic inequalities can be deduced from the basic properties of entropy or mutual information, Shannon's entropy power inequality (EPI) seems to be an exception: available information theoretic proofs of the EPI hinge on ...
Rioul, Olivier
core   +1 more source

Sharp Power Mean Bounds for Sándor Mean

open access: yes, 2015
We prove that the double inequality holds for all with if and only if and …, where and are the Sandor and th power means of and , respectively.
Y. Chu, Zhen-Hang Yang, Li-Min Wu
semanticscholar   +1 more source

Current Tracking Adaptive Control of Brushless DC Motors

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
In this paper, the current tracking for Brushless Direct Current motors is approached considering uncertainty in the parameters of the motor's model. An adaptive control scheme to compensate electrical parameters uncertainty is proposed without requiring any knowledge of the mechanical parameters.
Fernanda Ramos‐García   +3 more
wiley   +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

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

On Divergence-Power Inequalities

open access: yes, 2006
Expressions for (EPI Shannon type) Divergence-Power Inequalities (DPI) in two cases (time-discrete and band-limited time-continuous) of stationary random processes are given.
Binia, Jacob
core   +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

Sharp Power Mean Bounds for the One-Parameter Harmonic Mean

open access: yes, 2015
We present the best possible parameters and such that the double inequality holds for all and with , where and and are the power and one-parameter harmonic means of and , respectively.
Y. Chu, Li-Min Wu, Ying-Qing Song
semanticscholar   +1 more source

Designing Thermally Compatible Template‐Coating Pairs Toward Dimensionally Stable 3D Porous Carbons with Tunable Density

open access: yesAdvanced Functional Materials, EarlyView.
3D porous carbons with tunable density are crucial for energy storage, separations, and load‐bearing applications; however, their fabrication is often constrained by shrinkage during pyrolysis. This study optimizes and demonstrates the versatility of a template–coating pair strategy, producing materials that largely retain their shape and hierarchical ...
Adarsh Suresh   +7 more
wiley   +1 more source

Hermite–Hadamard–Mercer-Type Inequalities for Three-Times Differentiable Functions

open access: yesAxioms
In this study, an integral identity is given in order to present some Hermite–Hadamard–Mercer-type inequalities for functions whose powers of the absolute values of the third derivatives are convex.
Loredana Ciurdariu, Eugenia Grecu
doaj   +1 more source

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