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Some Dynamic Inequalities of Hilbert’s Type [PDF]
Journal of Function Spaces, 2020 This paper is concerned with deriving some new dynamic Hilbert-type inequalities on time scales. The basic idea in proving the results is using some algebraic inequalities, Hölder’s inequality and Jensen’s inequality, on time scales. As a special case of our results, we will obtain some integrals and their corresponding discrete inequalities of Hilbert’
A. M. Ahmed +3 more
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On Hilbert type inequalities [PDF]
Journal of Inequalities and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, C, Cheung, WS
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On Inverse Hilbert-Type Inequalities [PDF]
Journal of Inequalities and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Changjian, Z, Cheung, WS
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Reverse Hilbert type inequalities [PDF]
Journal of Mathematical Inequalities, 2019 Summary: In this paper, some reverse Hilbert-Pachpatte's type inequalities involving series of nonnegative terms are established, which provide new estimates on inequality of this type.
Zhao, Chang-Jian, Cheung, Wing-Sum
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Some New Hilbert's Type Inequalities
Journal of Inequalities and Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheung, WS, Zhao, CJ
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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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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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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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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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