Results 1 to 10 of about 35,471 (230)

Additive Refinements and Reverses of Young's Operator Inequality Via a Result of Cartwright and Field

open access: yesUniversal Journal of Mathematics and Applications, 2021
In this paper we obtain some new additive refinements and reverses of Young's operator inequality via a result of Cartwright and Field. Comparison with other additive Young's type inequalities are also provided.
Sever Dragomır
doaj   +1 more source

A Note about Young’s Inequality with Different Measures

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2022
The key purpose of this paper is to work on the boundedness of generalized Bessel–Riesz operators defined with doubling measures in Lebesgue spaces with different measures.
Saba Mehmood   +2 more
doaj   +1 more source

Certain Properties of the Modified Degenerate Gamma Function

open access: yesJournal of Mathematics, 2021
In this paper, we prove some inequalities satisfied by the modified degenerate gamma function which was recently introduced. The tools employed include Holder’s inequality, mean value theorem, Hermite–Hadamard’s inequality, and Young’s inequality.
Kwara Nantomah
doaj   +1 more source

Some dynamic Hilbert-type inequalities for two variables on time scales

open access: yesJournal of Inequalities and Applications, 2021
In this paper, we discuss some new Hilbert-type dynamic inequalities on time scales in two separate variables. We also deduce special cases, like some integral and their respective discrete inequalities.
H. A. Abd El-Hamid   +5 more
doaj   +1 more source

On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation

open access: yesBoundary Value Problems, 2022
In this paper, we address the Hall-MHD equations with partial dissipation. Applying some important inequalities (such as the logarithmic Sobolev inequality using BMO space, bilinear estimates in BMO space, Young’s inequality, cancellation property ...
Baoying Du
doaj   +1 more source

Trajectory Tracking Control for Reaction–Diffusion System with Time Delay Using P-Type Iterative Learning Method

open access: yesActuators, 2021
This paper has dealt with a tracking control problem for a class of unstable reaction–diffusion system with time delay. Iterative learning algorithms are introduced to make the infinite-dimensional repetitive motion system track the desired trajectory. A
Yaqiang Liu, Jianzhong Li, Zengwang Jin
doaj   +1 more source

The interpolation of Young’s inequality using dyadics

open access: yesJournal of Inequalities and Applications, 2019
In this article we interpolate Young’s inequality using a delicate treatment of dyadics. Although there are other simple methods to prove these results, we present this new approach hoping to reveal more of the hidden properties of such inequalities.
Mohammad Sababheh, Abdelrahman Yousef
doaj   +1 more source

An Extension of Young's Inequality

open access: yesAbstract and Applied Analysis, 2011
Young's inequality is extended to the context of absolutely continuous measures. Several applications are included.
Flavia-Corina Mitroi   +1 more
doaj   +1 more source

Analysis and optimal boundary control of a nonstandard system of phase field equations [PDF]

open access: yes, 2012
We investigate a nonstandard phase field model of Cahn-Hilliard type. The model describes two-species phase segregation and consists of a system of two highly nonlinearly coupled PDEs.
Colli, Pierluigi   +2 more
core   +3 more sources

On further refinements for Young inequalities

open access: yesOpen Mathematics, 2018
In this paper sharp results on operator Young’s inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young’s inequality.
Furuichi Shigeru, Moradi Hamid Reza
doaj   +1 more source

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