Results 31 to 40 of about 3,887,998 (294)
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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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. +3 more
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Some new refinements of the Young, Hölder, and Minkowski inequalities
Journal of Inequalities and Applications, 2023 We prove and discuss some new refined Hölder inequalities for any p > 1 $p>1$ and also a reversed version for 0 < p < 1 $0 ...
Ludmila Nikolova +2 more
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ON SOME INEQUALITIES FOR 𝜏 -MEASURABLE OPERATORS
Проблемы анализа, 2019 This paper deals with the Choi’s inequality for measurable operators affiliated with a given von Neumann algebra. Some Young and Cauchy-Schwarz type inequalities for 𝜏 -measurable operators are also given.
S. M. Davarpanah +2 more
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Advances in Difference Equations, 2021 In this paper, we establish some dynamic Hilbert-type inequalities in two independent variables on time scales by using the Fenchel–Legendre transform. We also apply our inequalities to discrete and continuous calculus to obtain some new inequalities as ...
A. A. El-Deeb +3 more
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New Young Inequalities and Applications [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2019 We establish upper bounds for the convolution operator acting between interpolation spaces. This gives new Young inequalities in the context of Lorentz–Karamata spaces, grand Lebesgue spaces and small Lebesgue spaces besides many other known results. Furthermore, we use this abstract Young inequality to prove a bilinear interpolation theorem for limit ...
Fernández-Martínez, Pedro +1 more
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Youth, 2022 Evidence suggests that, on average, younger citizens in advanced industrial democracies tend to have different policy preferences to those aged 65 and over.
Veronica Coram
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Sharpness in Young’s inequality for convolution [PDF]
Pacific Journal of Mathematics, 1977 Summary: Let \(p\) and \(q\) be indices in the open interval \((1,\infty)\) such that \(pq < p+q\); let \(r = pq/(p+q-pq)\). It is shown here that there is a constant \(C_{p,q} < 1\) such that, if \(G\) is a locally compact, unimodular group with no compact open subgroups, and if \(g\) and \(f\) are functions in \(L^p(G)\) and \(L^q(G)\) respectively ...
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Fractional order PDα-type ILC for linear continuous time-delay switched system with disturbance measurement and uncertainties noise [PDF]
Journal of HyperstructuresThis study investigates the efficacy of a novel PDα-type fractional-order iterative learning control (FOILC) approach for a class of fractional-order linear continuous-time delaying switched systems.
Omprakash Dewangan
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SSM: Population Health, 2022 Purpose: Although adolescent substance use has declined, young people’s tobacco and alcohol use levels are still among the highest in Europe and North America.
Alina Cosma +6 more
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