Results 1 to 10 of about 82 (62)
一个新的半离散Hilbert型不等式<br>A New Half-Discrete Hilbert’s Inequality
, 2012 谢 子填
semanticscholar +3 more sources
On the construction of a class of half-discrete Hilbert-type inequalities(一类半离散Hilbert型不等式的构造)
Zhejiang Daxue xuebao. Lixue ban, 2022 通过定义若干参量，构造了包含齐次及非齐次2种形态的半离散型核函数。借助正切函数的无穷级数表示和分析学方法，建立了用余切函数表示常数因子的半离散Hilbert型不等式，且证明了为最佳常数因子。通过对参量赋值，建立了特殊的齐次及非齐次Hilbert型不等式。
YOUMinghui(有名辉)
doaj +2 more sources
A strengthened version of a Hardy-Hilbert-type inequality(一个加强的Hardy-Hilbert型不等式)
Zhejiang Daxue xuebao. Lixue ban, 2016 引入独立参数，应用权系数的方法及Hadamard不等式，建立了一个加强的具有最佳常数因子的Hardy-Hilbert型不等式及其等价形式.
GUZhaohui(顾朝晖) +1 more
doaj +2 more sources
Generalization of a Hilbert-type inequality related to Euler number(一个与Euler数有关的Hilbert型不等式的推广)
Zhejiang Daxue xuebao. Lixue ban, 2016 通过引入参数，利用实分析技巧，建立最佳常数因子与余割函数有关的Hilbert型积分不等式，推广了与Euler数有关的Hilbert型不等式.作为结论的应用，赋予参数不同的值，给出了一些特殊结果.
YOUMinghui(有名辉)
doaj +2 more sources
A half-discrete Hilbert-type inequality(一个半离散的Hilbert型不等式)
Zhejiang Daxue xuebao. Lixue ban, 2013 通过引入参数和应用权函数的方法，建立了 一个具有最佳常数因子的半离散的Hilbert型不等式及其等价形式，并考虑了特殊结果.
ZHONGJian-hua(钟建华) +1 more
doaj +2 more sources
A half-discrete Hilbert-type inequality with a non-homogeneous kernel(一个半离散非齐次核的Hilbert型不等式)
Zhejiang Daxue xuebao. Lixue ban, 2017 引入独立参数，应用权函数的方法及实分析技巧，建立一个具有最佳常数因子的半离散非齐次核的Hilbert型不等式，还考虑了其具有最佳常数因子的等价形式.
YANGBicheng(杨必成) +1 more
doaj +2 more sources
Zhejiang Daxue xuebao. Lixue ban, 2015 通过引入参数和应用权函数的方法，建立了 一个核为递减非凸的、具有最佳常数因子、零齐次半离散的Hilbert型不等式及其等价形式，并考虑了特殊结果.
ZHONGJianhua(钟建华) +1 more
doaj +2 more sources
Zhejiang Daxue xuebao. Lixue banBy introducing multiple parameters, and using partial fraction expansion of Cotangent function, a new Hilbert-type inequality defined in the whole plane with the constant factor related to the higher derivative of cotangent function is established. Also,
时小春(SHI Xiaochun)
doaj +2 more sources
On strengthened version of Hardy-Hilbert's type inequality(关于Hardy-Hilbert型不等式的加强)
Zhejiang Daxue xuebao. Lixue ban, 2007 利用改进了的Hölder's不等式对两个Hardy-Hilbert型不等式作了改进，建立了一些新的形如的不等式，其中，R（α，r，s）= (S，(F，γ）— Sq(G，γ))2 < 1.
HELe-ping(贺乐平) +1 more
doaj +1 more source
一个新的半离散Hilbert型不等式 A New Half-Discrete Hilbert’s Inequality
, 2012 应用权函数，给出一个新的有最佳常数因子的半离散Hilbert型不等式。同时给出他的等价式。 In this paper, by introducing some parameters and estimating the weight function, we give a new half-discrete Hilbert-type inequality with a best constant factor. The equivalent inequality forms is considered.
谢子填, 曾峥
semanticscholar +1 more source