Results 1 to 10 of about 359 (228)

An Extension of Young's Inequality [PDF]

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   +4 more sources

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

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   +2 more sources

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   +2 more sources

A New Refinement of Young's Inequality [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 2007
In this short note, the well-known Young’s inequality is refined by a double ...
Qi, Feng   +3 more
core   +4 more sources

Young's integral inequality with upper and lower bounds

open access: yesElectronic Journal of Differential Equations, 2011
Young's integral inequality is reformulated with upper and lower bounds for the remainder. The new inequalities improve Young's integral inequality on all time scales, such that the case where equality holds becomes particularly transparent in this ...
Douglas R. Anderson   +2 more
doaj   +1 more source

Stochastic Delay Logistic Model under Regime Switching [PDF]

open access: yesAbstract and Applied Analysis, 2012
This paper is concerned with a delay logistical model under regime switching diffusion in random environment. By using generalized Itô formula, Gronwall's inequality, and Young's inequality, some sufficient conditions for existence of global positive ...
Zheng Wu, Hao Huang, Lianglong Wang
doaj   +2 more sources

Young's inequality in trace-class operators [PDF]

open access: yes, 2021
If a and b are trace-class operators, and if u is a partial isometry, then , where ∥⋅∥1 denotes the norm in the trace class. The present paper characterises the cases of equality in this Young inequality, and the characterisation is examined in the ...
Argerami, Martín, Farenick, Douglas
core   +2 more sources

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

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

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

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