Results 1 to 10 of about 799 (174)
An extended reverse Hardy–Hilbert’s inequality in the whole plane [PDF]
Journal of Inequalities and Applications, 2018 Using weight coefficients, a complex integral formula, and Hermite–Hadamard’s inequality, we give an extended reverse Hardy–Hilbert’s inequality in the whole plane with multiparameters and a best possible constant factor.
Qiang Chen, Bicheng Yang
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An extended Hilbert’s integral inequality in the whole plane with parameters [PDF]
Journal of Inequalities and Applications, 2018 By introducing independent parameters and interval variables, applying the weight functions and the technique of real analysis, an extended Hilbert’s integral inequality in the whole plane with parameters and a best possible constant factor is provided ...
Leping He, Yin Li, Bicheng Yang
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Inequalities Similar to Hilbert's Inequality [PDF]
Abstract and Applied Analysis, 2013 In the present paper, we establish some new inequalities similar to Hilbert’s type inequalities. Our results provide some new estimates to these types of inequalities.
Chang-Jian Zhao
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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
A. M. Ahmed +3 more
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Equivalent property of a half-discrete Hilbert’s inequality with parameters [PDF]
Journal of Inequalities and Applications, 2018 By using the weight functions and the idea of introducing parameters, a half-discrete Hilbert inequality with a nonhomogeneous kernel and its equivalent form are given.
Zhenxiao Huang, Bicheng Yang
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Some New Hilbert's Type Inequalities
Journal of Inequalities and Applications, 2009 Some new inequalities similar to Hilbert's type inequality involving series of nonnegative terms are established.
Cheung Wing-Sum, Zhao Chang-Jian
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The Generalizations of Hilbert's Inequality
International Journal of Mathematics and Mathematical Sciences, 2008 By introducing some parameters and estimating the weight functions, we establish a new Hilbert-type inequalities with best constant factors. The equivalent inequalities are also considered.
Liubin Hua, Huazhong Ke, Yongjin Li
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A Reverse Hardy–Hilbert’s Inequality Containing Multiple Parameters and One Partial Sum
Mathematics, 2022 In this work, by introducing multiple parameters and utilizing the Euler–Maclaurin summation formula and Abel’s partial summation formula, we first establish a reverse Hardy–Hilbert’s inequality containing one partial sum as the terms of double series ...
Bicheng Yang, Shanhe Wu, Xingshou Huang
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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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A New Extension of Hardy-Hilbert’s Inequality Containing Kernel of Double Power Functions
Mathematics, 2020 In this paper, we provide a new extension of Hardy-Hilbert’s inequality with the kernel consisting of double power functions and derive its equivalent forms.
Bicheng Yang, Shanhe Wu, Qiang Chen
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