Results 11 to 20 of about 148 (138)
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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Hilbert’s Double Series Theorem’s Extensions via the Mathieu Series Approach
Axioms, 2022 The author’s research devoted to the Hilbert’s double series theorem and its various further extensions are the focus of a recent survey article.
Tibor K. Pogány
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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 Reverse Extended Hardy–Hilbert’s Inequality with Two Partial Sums and Parameters
Axioms, 2023 By using the methods of real analysis and the mid-value theorem, we introduce some lemmas and obtain a new reverse extended Hardy–Hilbert’s inequality with two partial sums and multi-parameters.
Jianquan Liao, Bicheng Yang
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On New Extensions of Hilbert's Integral Inequality
International Journal of Mathematics and Mathematical Sciences, 2008 It is shown that some new extensions of Hilbert's integral inequality with parameter λ(λ>1/2) can be established by introducing a proper weight function. In particular, when λ=1, a refinement of Hilbert's integral inequality is obtained. As applications,
He Leping, Gao Mingzhe, Zhou Yu
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A Generalization on Some New Types of Hardy-Hilbert’s Integral Inequalities
Journal of Function Spaces and Applications, 2013 Sulaiman presented, in 2008, new kinds of Hardy-Hilbert’s integral inequality in which the weight function is homogeneous. In this paper, we present a generalization on the kinds of Hardy-Hilbert’s integral inequality.
Banyat Sroysang
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On Some Extensions of Hardy-Hilbert's Inequality and Applications
Journal of Inequalities and Applications, 2008 By introducing some parameters we establish an extension of Hardy-Hilbert's integral inequality and the corresponding inequality for series. As an application, the reverses, some particular results and their equivalent forms are considered.
Laith Emil Azar
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Some Dynamic Inequalities of Hilbert’s Type
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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On a more accurate Hilbert-type inequality in the whole plane with the general homogeneous kernel
Journal of Inequalities and Applications, 2021 By the use of the weight coefficients, the idea of introduced parameters and the technique of real analysis, a more accurate Hilbert-type inequality in the whole plane with the general homogeneous kernel is given, which is an extension of the more ...
Xingshou Huang, Bicheng Yang
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Extension of Hilbert's inequality
Journal of Mathematical Analysis and Applications, 2006 In this talk we make some further extensions of discrete Hilbert's inequality by using Euler-Maclaurin summation formula. We obtain the improvements on some earlier results and also compare our results with some previously known from the literature.
Krnić, Mario, Pečarić, Josip
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