Results 21 to 30 of about 756 (131)
Generalization of Hilbert's Integral Inequality [PDF]
Mathematical Inequalities & Applications, 2004 A generalization of the well-known Hilbert's inequality is given and several other results of this type obtained in the recent years follow as a special case from our result.
Pečarić, Josip, Brnetić, Ilko
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On a more accurate Hilbert-type inequality in the whole plane with the general homogeneous kernel
Journal of Inequalities and Applications, 2021 By the use of the weight coefficients, the idea of introduced parameters and the technique of real analysis, a more accurate Hilbert-type inequality in the whole plane with the general homogeneous kernel is given, which is an extension of the more ...
Xingshou Huang, Bicheng Yang
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Computing Small Certificates of Inconsistency of Quadratic Fewnomial Systems [PDF]
, 2016 B{\'e}zout 's theorem states that dense generic systems of n multivariate quadratic equations in n variables have 2 n solutions over algebraically closed fields.
Eisenbud D. +4 more
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Schur’s generalization of Hilbert’s inequality [PDF]
Proceedings of the American Mathematical Society, 1983 The method succeeds with equal ease, and gives the same result, when am, bn, Ck are square matrices of the same size over C and I denotes the Euclidean norm; as far as we know, this result is new. Further extensions involve additional ideas, however, and will be presented elsewhere.
Redheffer, Ray, Volkmann, Peter
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An improvement of some inequalities similar to Hilbert's inequality
International Journal of Mathematics and Mathematical Sciences, 2001 We give an improvement of some inequalities similar to Hilbert's inequality involving series of nonnegative terms. The integral analogies of the main results are also given.
Young-Ho Kim
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Factorization of Hilbert operators
Journal of Inequalities and Applications, 2022 In this research, we introduce some factorization for Hilbert operators of order n based on two important classes of Hausdorff operators, Cesàro and gamma.
Hadi Roopaei
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On the sum of a prime and a square [PDF]
, 1993 departmental bulletin ...
Mikawa Hiroshi
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Hilbert's projective metric in quantum information theory
, 2011 We introduce and apply Hilbert's projective metric in the context of quantum information theory. The metric is induced by convex cones such as the sets of positive, separable or PPT operators.
David Reeb +4 more
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A Reverse Hardy-Hilbert’s Inequality Involving One Partial Sum as the Terms of Double Series
Journal of Function Spaces, 2022 In this paper, by constructing proper weight coefficients and utilizing the Euler-Maclaurin summation formula and the Abel partial summation formula, we establish reverse Hardy-Hilbert’s inequality involving one partial sum as the terms of double series.
Bicheng Yang, Shanhe Wu, Xingshou Huang
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The horofunction boundary of the Hilbert geometry
, 2008 We investigate the horofunction boundary of the Hilbert geometry defined on an arbitrary finite-dimensional bounded convex domain D. We determine its set of Busemann points, which are those points that are the limits of `almost-geodesics'.
Boyd S. +7 more
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