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A Study on Some New Reverse Hilbert-Type Inequalities and Its Generalizations on Time Scales
Journal of Mathematics, 2022 This study develops the study of reverse Hilbert-type inequalities on time scales where we can establish some new generalizations of reverse Hilbert-type inequalities via supermultiplicative functions on time scales by applying reverse Hölder ...
M. Zakarya +3 more
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Trace inequalities of Cassels and Grüss type for operators in Hilbert spaces [PDF]
, 2017 Some trace inequalities of Cassels type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also ...
Dragomir, Sever S
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Reverse Hilbert's type integral inequalities [PDF]
Mathematical Inequalities & Applications, 2014 In this paper, we are motivated by some newer Hilbert-Pachpatte inequalities, and that we derive some similar (but reverse) inequalities. Mathematics subject classification (2010): 26D15.
Cheung, WS, Zhao, C
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Non injectivity of the q-deformed von Neumann algebra [PDF]
, 2004 We prove that the von Neumann algebra generated by q-gaussians is not injective as soon as the dimension of the underlying Hilbert space is greater than 1. Our approach is based on a vector valued Khintchine type inequality for Wick products.
Nou, Alexandre
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Tamkang Journal of Mathematics, 2000 In this paper we obtain a new inequality of Hilbert type for a finite number of nonnegative sequences of real numbers from which we can recover as a special case an inequality due to Pachpatte. We also obtain an integral variant of the inequality.
Handley, G. D. +2 more
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Hilbert-Type Inequalities Revisited [PDF]
Journal of Mathematics and Statistics, 2016 Considering different parameters, Hilbert-type integral inequality for functions f(x), g(x) in L2[0, ∞) will be generalized.
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A reverse Hardy–Hilbert-type integral inequality involving one derivative function
Journal of Inequalities and Applications, 2020 In this article, by using weight functions, the idea of introducing parameters, the reverse extended Hardy–Hilbert integral inequality and the techniques of real analysis, a reverse Hardy–Hilbert-type integral inequality involving one derivative function
Qian Chen, Bicheng Yang
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Some Local Fractional Hilbert-Type Inequalities
Fractal and Fractional, 2023 The main purpose of this paper is to prove some new local fractional Hilbert-type inequalities. Our general results are applicable to homogeneous kernels. Furthermore, the best possible constants in terms of local fractional hypergeometric function are obtained.
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Equivalent Conditions of a Hilbert-Type Multiple Integral Inequality Holding
Journal of Function Spaces, 2020 Let ∑i=1n1/pi=1pi>1, in this paper, by using the method of weight functions and technique of real analysis; it is proved that the equivalent parameter condition for the validity of multiple integral Hilbert-type inequality ∫R+nKx1,⋯,xn∏i=1nfixi dx1⋯dxn≤M∏
Jianquan Liao, Yong Hong, Bicheng Yang
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On inequalities of Hilbert's type [PDF]
Bulletin of the Australian Mathematical Society, 2007 By introducing the function 1/(min{x, y}), we establish several new inequalities similar to Hilbert's type inequality. Moreover, some further unification of Hardy-Hilbert's and Hardy-Hilbert's type integral inequality and its equivalent form with the best constant factor are proved, which contain the classic Hilbert's inequality as special case.
Yongjin Li, Bing He
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