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The ptolemaic inequality in Hilbert geometries [PDF]
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Inequalities in Hilbert Spaces
The main result in this thesis is a new generalization of Selberg's inequality in Hilbert spaces with a proof. In Chapter 1 we define Hilbert spaces and give a proof of the Cauchy-Schwarz inequality and the Bessel inequality. As an example of application of the Cauchy-Schwarz inequality and the Bessel inequality, we give an estimate for the dimension ...
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A Hilbert-type inequality [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}=
Zhao, Chang-Jian, Cheung, Wing-Sum
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On half-discrete Hilbert’s inequality
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rassias, Michael Th., Yang, Bicheng
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Hilbert-Pachpatte type inequalities from Bonsall's form of Hilbert's inequality
Journal of inequalities in pure and applied mathematics, 2008The main objective of this paper is to deduce Hilbert-Pachpatte type inequalities using Bonsall's form of Hilbert's and Hardy-Hilbert's inequalities, both in discrete and continuous case.
Vuković, Predrag, Pečarić, Josip
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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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General Hilbert's and Hardy-Hilbert's Inequality
2004We establish general form of multiple Hilbert-type integral inequality and we introduce multiple integral inequality of Hardy-Hilbert type. Also, we generalize discrete Hilbert's and Hardy-Hilbert's inequality.
Krnić, Mario +2 more
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