Results 11 to 20 of about 14,265,519 (265)
A Multiple Hilbert-Type Integral Inequality with the Best Constant Factor [PDF]
Journal of Inequalities and Applications, 2007 By introducing the norm ‖x‖α(x∈â„Â) and two parameters α, λ, we give a multiple Hilbert-type integral inequality with a best possible constant factor. Also its equivalent form is considered.
Baoju Sun
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A Half-Discrete Hardy-Hilbert-Type Inequality with a Best Possible Constant Factor Related to the Hurwitz Zeta Function [PDF]
, 2017 Using methods of weight functions, techniques of real analysis as well as the Hermite-Hadamard inequality, a half-discrete Hardy-Hilbert-type inequality with multi-parameters and a best possible constant factor related to the Hurwitz zeta function and the Riemann zeta function is obtained.
Rassias, Michael Th., Yan, Bicheng
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Equivalent property of a half-discrete Hilbert’s inequality with parameters
Journal of Inequalities and Applications, 2018 By using the weight functions and the idea of introducing parameters, a half-discrete Hilbert inequality with a nonhomogeneous kernel and its equivalent form are given.
Zhenxiao Huang, Bicheng Yang
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On an Extension of a Hardy–Hilbert-Type Inequality with Multi-Parameters
Mathematics, 2021 Making use of weight coefficients as well as real/complex analytic methods, an extension of a Hardy–Hilbert-type inequality with a best possible constant factor and multiparameters is established.
Bicheng Yang +2 more
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Best Possible Constant for Bandwidth Selection [PDF]
, 1992 For the data based choice of the bandwidth of a kernel density estimator, several methods have recently been proposed which have a very fast asymptotic rate of convergence to the optimal bandwidth.
Fan, Jianqing, Marron, James S.
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Journal of Inequalities and Applications, 2017 For x = ( x 1 , … , x n ) ${x}= ( {x}_{1},\ldots, {x}_{{n}} )$ , u ( x ) = ( ∑ i = 1 n a i x i ρ ) 1 / ρ ${u} ( {x} ) = ( \sum_{{i}=1}^{{n}} {a}_{{i}} {x}_{{i}}^{\rho} )^{1/\rho}$ , v ( y ) = ( ∑ i = 1 n b i y i ρ ) 1 / ρ ${v} ( {y} ) = ( \sum_{{i}=1 ...
Yong Hong +3 more
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A reverse Mulholland-type inequality in the whole plane
Journal of Inequalities and Applications, 2018 We present a new reverse Mulholland-type inequality in the whole plane with a best possible constant factor by introducing multiparameters, applying weight coefficients, and using the Hermite–Hadamard inequality.
Jianquan Liao, Bicheng Yang
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An extended reverse Hardy–Hilbert’s inequality in the whole plane
Journal of Inequalities and Applications, 2018 Using weight coefficients, a complex integral formula, and Hermite–Hadamard’s inequality, we give an extended reverse Hardy–Hilbert’s inequality in the whole plane with multiparameters and a best possible constant factor.
Qiang Chen, Bicheng Yang
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, 2015 By the method of weight coefficients, techniques of real analysis and Hermite-Hadamard's inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of the hyperbolic cosecant function with the best possible constant factor expressed in terms of the extended Riemann-zeta function is proved.
Rassias, Michael Th., Yang, Bicheng
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An anisotropic model for the electrical resistivity of two-phase geologic materials [PDF]
, 2010 Electrical and electromagnetic surveys of the seafloor provide valuable information about the macro and microscopic properties of subseafloor sediments.
Jeremy Sothcott +9 more
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