Results 11 to 20 of about 3,738,852 (246)

Young’s inequality and trace

Linear Algebra and its Applications, 2009
Let \(M_{n}({\mathbb C})\) be the set of all complex \(n\)-square matrices. The modulus \((X^{\ast }X)^{1/2}\) of \(X\in M_{n}\) is written as \(|X|\). Let \(h=h(t):[0,\infty )\rightarrow [ 0,\infty )\) be strictly increasing, continuous function with \( h(0)=0\) and \(h(t)\rightarrow \infty \) as \(t\rightarrow \infty \).
Cho, Kazuki, Sano, Takashi
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Power series inequalities via Young’s inequality with applications [PDF]

Journal of Inequalities and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ibrahim, Alawiah, Dragomir, Sever S, Darus, Maslina   +2 more
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New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant [PDF]

Journal of Inequalities and Applications, 2017
The purpose of this paper is to give a survey of the progress, advantages and limitations of various operator inequalities involving improved Young’s and its reverse inequalities related to the Kittaneh-Manasrah inequality.
Jie Zhang, Junliang Wu
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On a converse of Young’s inequality [PDF]

Proceedings of the American Mathematical Society, 1972
A converse of Young’s inequality is proved through the formulation of a functional inequality.
I. Hsu
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A NEW REFINEMENT OF YOUNG'S INEQUALITY [PDF]

Proceedings of the Edinburgh Mathematical Society, 2007
AbstractA classical theorem due to Young states that the cosine polynomial$$ C_n(x)=1+\sum_{k=1}^{n}\frac{\cos(kx)}{k} $$is positive for all $n\geq1$ and $x\in(0,\pi)$. We prove the following refinement. For all $n\geq2$ and $x\in[0,\pi]$ we have$$ \tfrac{1}{6}+c(\pi-x)^2\leq C_n(x), $$with the best possible constant factor$$ c=\min_{0\leq t\lt\pi ...
Alzer, H., Koumandos, S., Alzer, H., Koumandos, S.   +3 more
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Additive Refinements and Reverses of Young's Operator Inequality Via a Result of Cartwright and Field

Universal 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
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A Note about Young’s Inequality with Different Measures

International 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, Eridani Eridani, Fatmawati Fatmawati   +2 more
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Certain Properties of the Modified Degenerate Gamma Function

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

Actuators, 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
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Generalizations of Young's inequality

Journal of Mathematical Analysis and Applications, 1974
Boas, R.P, Marcus, M.B
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