Results 21 to 30 of about 7,612,569 (200)
New half-discrete Hilbert inequalities for three variables
Journal of Inequalities and Applications, 2018 In this paper, we obtain two new half-discrete Hilbert inequalities for three variables. The obtained inequalities are with the best constant factor. Moreover, we give their equivalent forms.
Tserendorj Batbold, Laith E. Azar
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The Equivalence of Quadratic Forms [PDF]
Canadian Journal of Mathematics, 1957 The main object of this paper is to find the number of classes in a genus of indefinite quadratic forms, with integral coefficients, in k ≥ 4 variables, distinguishing for even k two cases, according as improper equivalence is or is not admitted.
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Journal of Inequalities and Applications, 2016 By applying the weight functions, the technique of real analysis and Hermite-Hadamard’s inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of exponential function with the best possible constant factor expressed by the gamma ...
Jianquan Liao, Bicheng Yang
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On a more accurate Hardy-Mulholland-type inequality
Journal of Inequalities and Applications, 2017 By using the way of weight coefficients, the technique of real analysis, and Hermite-Hadamard’s inequality, a more accurate Hardy-Mulholland-type inequality with multi-parameters and a best possible constant factor is given.
Bicheng Yang, Qiang Chen
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A more accurate Mulholland-type inequality in the whole plane
Journal of Inequalities and Applications, 2017 By introducing independent parameters, applying the weight coefficients, and Hermite-Hadamard’s inequality, we give a more accurate Mulholland-type inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, the
Yanru Zhong, Bicheng Yang, Qiang Chen
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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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An equivalent property of a Hilbert-type integral inequality and its applications [PDF]
, 2022 Making use of complex analytic techniques as well as methods involving weight functions, we study a few equivalent conditions of a Hilbert-type integral inequality with nonhomogeneous kernel and parameters.
Andrica, D. +7 more
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A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function
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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AIP Advances, 2021 In this study, a new closed-form expression is developed to determine the equivalent electromagnetic parameters (permittivity and permeability) of biaxial anisotropic honeycomb radar-absorbing materials (RAMs).
Guanya Li +8 more
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An extension of a multidimensional Hilbert-type inequality
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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