Results 11 to 20 of about 606,214 (82)
On a New Extended Hardy–Hilbert’s Inequality with Parameters
Mathematics, 2020 In this paper, by introducing parameters and weight functions, with the help of the Euler−Maclaurin summation formula, we establish the extension of Hardy−Hilbert’s inequality and its equivalent forms.
Bicheng Yang, Shanhe Wu, Jianquan Liao
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A Generalization on Some New Types of Hardy-Hilbert’s Integral Inequalities [PDF]
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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A New Extension of Hardy-Hilbert’s Inequality in the Whole Plane
Journal of Function Spaces, 2016 By the use of weight coefficients and Hermite-Hadamard’s inequality, a new extension of Hardy-Hilbert’s inequality in the whole plane with multiparameters and a best possible constant factor is given. The equivalent forms, the operator expressions, and a
Bicheng Yang, Qiang Chen
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A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications [PDF]
, 2004 In this paper, by introducing some parameters and by employing a sharpening of Hölder’s inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is established.
Leping, He +2 more
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Some Refinements of Hilbert-Pachpatte type integral Inequalities [PDF]
, 2001 In this paper, we obtain an extension of a multivariable integral inequality of Hilbert-Pachpatte type. By specializing the upper estimate functions in the hypothesis and the parameters, we obtain many special ...
Kim, Young-Ho, Dragomir, Sever S
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On Weighted Remainder Form of Hardy-Type Inequalities [PDF]
, 2009 We use different approaches to study a generalization of a result of Levin and Stečkin concerning an inequality analogous to Hardy’s inequality.
Gao, Peng
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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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Hardy inequality: genesis and applications [PDF]
, 2022 openArgomento principale della tesi è la disuguaglianza di Hardy. Dopo averla introdotta nella sua forma sia discreta che continua, dimostrata e averne dato qualche generalizzazione, introdurremo la nozione di spazio di Sobolev, illustrando le ...
TEDESCO, NICOLÒ
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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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On new multiple extension of Hilbert’s integral inequality (2) [PDF]
, 2007 Via Laplace transformation some new generalization of Hardy-Hilbert’s integral inequality is ...
Sulaiman, W.T.
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