Results 11 to 20 of about 1,569 (191)
On Hilbert type inequalities [PDF]
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Zhao, C, Cheung, WS
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A Weighted Generalization of Hardy–Hilbert-Type Inequality Involving Two Partial Sums
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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On Inverse Hilbert-Type Inequalities [PDF]
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Changjian, Z, Cheung, WS
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A Multiparameter Hardy–Hilbert-Type Inequality Containing Partial Sums as the Terms of Series
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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On inequalities of Hilbert's type [PDF]
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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On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions
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
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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The Fejer-Riesz type result for some weighted Hilbert spaces of analytic functions in the unit disc [PDF]
In this note we prove Fejer-Riesz inequality type results for some weighted Hilbert spaces of analytic functions in the unit disc. We describe also a class of such spaces for which Fejer-Riesz inequality type results do not hold.
Piotr Jakóbczak
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A Study on Some New Reverse Hilbert-Type Inequalities and Its Generalizations on Time Scales
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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On improvement of a Hilbert-type inequality
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Weidong Jiang, Yun Hua
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