Results 1 to 10 of about 7,574,393 (201)
An extension of a multidimensional Hilbert-type inequality [PDF]
Journal of Inequalities and Applications, 2017 In this paper, by the use of weight coefficients, the transfer formula and the technique of real analysis, a new multidimensional Hilbert-type inequality with multi-parameters and a best possible constant factor is given, which is an extension of some ...
Jianhua Zhong, Bicheng Yang
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A Reverse Hardy-Hilbert-Type Inequality [PDF]
Journal of Inequalities and Applications, 2007 By estimating the weight coefficient, a reverse Hardy-Hilbert-type inequality is proved. As applications, some equivalent forms and a number of particular cases are obtained.
Gaowen Xi
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A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function [PDF]
Journal of Inequalities and Applications, 2017 By means of the weight functions, the technique of real analysis and Hermite-Hadamard’s inequality, a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of logarithmic function and a best possible constant factor is given ...
Aizhen Wang, Bicheng Yang
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A new discrete Hilbert-type inequality involving partial sums
Journal of Inequalities and Applications, 2019 In this paper, we derive a new discrete Hilbert-type inequality involving partial sums. Moreover, we show that the constant on the right-hand side of this inequality is the best possible. As an application, we consider some particular settings.
Vandanjav Adiyasuren +2 more
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Mathematics, 2021 In this paper, we establish a new Hardy–Hilbert-type inequality involving parameters composed of a pair of weight coefficients with their sum. Our result is a unified generalization of some Hardy–Hilbert-type inequalities presented in earlier papers ...
Bicheng Yang, Shanhe Wu, Xingshou Huang
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A Weighted Generalization of Hardy–Hilbert-Type Inequality Involving Two Partial Sums
Mathematics, 2023 In this paper, we address Hardy–Hilbert-type inequality by virtue of constructing weight coefficients and introducing parameters. By using the Euler–Maclaurin summation formula, Abel’s partial summation formula, and differential mean value theorem, a new
Bicheng Yang, Shanhe Wu
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A Multiparameter Hardy–Hilbert-Type Inequality Containing Partial Sums as the Terms of Series
Journal of Mathematics, 2021 In this study, a multiparameter Hardy–Hilbert-type inequality for double series is established, which contains partial sums as the terms of one of the series.
Jianquan Liao, Shanhe Wu, Bicheng Yang
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Mathematics, 2020 In this paper we establish a new half-discrete Hilbert-type inequality involving the variable upper limit integral and partial sums. As applications, an inequality obtained from the special case of the half-discrete Hilbert-type inequality is further ...
Jianquan Liao, Shanhe Wu, Bicheng Yang
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On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions
Open Mathematics, 2022 In this work, by the introduction of a new kernel function composed of exponent functions with several parameters, and using the method of weight coefficient, Hermite-Hadamard’s inequality, and some other techniques of real analysis, a more accurate half-
You Minghui, Sun Xia, Fan Xiansheng
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On a new generalization of some Hilbert-type inequalities
Open Mathematics, 2021 In this work, by introducing several parameters, a new kernel function including both the homogeneous and non-homogeneous cases is constructed, and a Hilbert-type inequality related to the newly constructed kernel function is established.
You Minghui, Song Wei, Wang Xiaoyu
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