Results 21 to 30 of about 7,980,180 (293)
Forms Equivalent to Curvatures
The 2-forms, \Omega and \Omega ' on a manifold M with values in vector bundles
Porta, Horacio, Recht, Lázaro
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On Hardy-type integral inequalities with the gamma function
By means of real analysis and weight functions, we obtain a few equivalent conditions of two kinds of Hardy-type integral inequalities with the non-homogeneous kernel and parameters. The constant factors related to the gamma function are proved to be the
Jianquan Liao, Bicheng Yang
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New half-discrete Hilbert inequalities for three variables
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]
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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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
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
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
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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A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function
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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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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