A Hilbert-Type Inequality with the Homogeneous Kernel of Real Number-Degree
Yang Bi-cheng
Abstract
Yang Bi-cheng
Abstract
By introducing multi-parameter and estimating the weight coefficients,a Hilbert-type inequality with a best constant factor and a homogeneous kernel of real number-degree is given,which is a best extension of a classical Hilbert-type inequality.The equivalent form,the reverses and some particular results are considered.
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By introducing multi-parameter and estimating the weight coefficients,a Hilbert-type inequality with a best constant factor and a homogeneous kernel of real number-degree is given,which is a best extension of a classical Hilbert-type inequality.The equivalent form,the reverses and some particular results are considered.
Key concepts: Mathematics, Degree (music), Homogeneous, Log sum inequality, Kernel (algebra), Real analysis, Inequality, Type (biology)