Results 121 to 130 of about 148 (138)
The ptolemaic inequality in Hilbert geometries [PDF]
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An inequality for operators in a Hilbert space [PDF]
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Hilbert’s inequalities with alternating signs
Periodica Mathematica Hungarica, 2022A sample of the results obtained is provided by Theorem 1.2: Let \(p>1\), \(1/p+1/q=1\), \thinspace\(\ 0\leq a_{2m+1}\leq a_{2m}\leq\cdots\leq a_{1}\) for \(m=0,1,\dots,s+1\) and \(0\leq b_{2n+1}\leq b_{2n}\leq\cdots\leq b_{1}\) for \(n=0,1,\dots,r+1\). If \(\overline{A}_{m}=\sum\nolimits_{k=1}^{2m+1}\left(-1\right) ^{k+1}a_{k}\) and \(\overline{B}_{n}=
Chang-Jian Zhao, Wing-Sum Cheung
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On the Hilbert Inequality With Weights
Zeitschrift für Analysis und ihre Anwendungen, 2002In this paper, it is shown that a Hilbert-type inequality with weight \omega(n) = \pi – \frac{\theta}{\sqrt{2n+1}} can be established where \theta = \frac{17}{20} .
Gao, Mingzhe, Wei, Shongrong, He, Leping
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On half-discrete Hilbert’s inequality
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael Th. Rassias, Bicheng Yang
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A note on Hilbert’s inequality
Applied Mathematics and Computation, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Relation to Hilbert’s Integral Inequality and a Basic Hilbert-Type Inequality
2011By using the way of weight function, a new integral inequality with certain parameters and a best constant factor is proved which provides a relation of Hilbert’s integral inequality and a basic Hilbert-type integral inequality. Both the equivalent form as well as the reverse form are considered.
Bicheng Yang, Themistocles M. Rassias
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Journal of the London Mathematical Society, 1974
Montgomery, H. L., Vaughan, R. C.
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Montgomery, H. L., Vaughan, R. C.
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2008
Although it originated at the beginning of the 20th century, Hilbert's inequality is still of a great interest. The purpose of this lecture is to give some account of the recent results in this area. Some open problems in determination of the best possible constant in non-conjugate Hilbert type inequalities will be outlined.
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Although it originated at the beginning of the 20th century, Hilbert's inequality is still of a great interest. The purpose of this lecture is to give some account of the recent results in this area. Some open problems in determination of the best possible constant in non-conjugate Hilbert type inequalities will be outlined.
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On an Inequality for the Hilbert Transform
Journal of the London Mathematical Society, 1977openaire +1 more source

