Results 1 to 10 of about 148 (138)
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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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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On Further Analogs of Hilbert's Inequality [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 By introducing the function |lnx−lny|/(x+y+|x−y|), we establish new inequalities similar to Hilbert's type inequality for integrals. As applications, we give its equivalent form as well.
Yongjin Li, You Qian, Bing He
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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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On a Multiple Hilbert's Inequality with Parameters [PDF]
Journal of Inequalities and Applications, 2010 By introducing multiparameters and conjugate exponents and using Hadamard's inequality and the way of real analysis, we estimate the weight coefficients and give a multiple more accurate Hilbert's inequality, which is an extension of some published ...
Huang Qiliang
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An Extension of the Hilbert's Integral Inequality
Journal of Inequalities and Applications, 2009 It is shown that an extension of the Hilbert's integral inequality can be established by introducing two parameters and . The constant factors expressed by the Euler number and as well as by the Bernoulli number and , respectively, are proved to ...
Yu Zhou, Xuemei Gao, Mingzhe Gao
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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 the extended Hilbert’s inequality [PDF]
Proceedings of the American Mathematical Society, 1998 In this paper, it is shown that the extended Hilbert’s inequality for double series can be refined by the aid of the Euler-Maclaurin summation formula. The extreme cases p
Gao, Mingzhe, Yang, Bichen
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