位置：成果数据库 > 期刊 > 期刊详情页
一类不可微极大极小分式规划的最优性条件及其对偶
  • ISSN号：1000-274X
  • 期刊名称：《西北大学学报：自然科学版》
  • 时间：0
  • 分类：O156.4[理学—数学;理学—基础数学]
  • 作者机构：[1]内蒙古财经学院统计与数学学院,内蒙古呼和浩特010051
  • 相关基金：国家自然科学基金资助项目（11071194）
作者： 杨芳[1], 胡格吉乐吐[1], 李梵蓓[1]
关键词： 最优性条件, 极大极小分式规划, 广义凸函数, 对偶定理, the kuhn-tucker type sufficient conditions, operations research, minimax fractional programming, generalized convexity, duality theorem
中文摘要：

目的研究一类分子由可微函数和凸函数之和,分母由可微函数和凸函数之差的形式组成目标函数的广义分式规划问题。方法利用Abad ie约束条件下的最优性必要条件。结果导出此问题在（C,α,,ρd）-V-凸下的充分条件,同时建立一种对偶模型。结论其弱对偶、强对偶和严格逆对偶定理成立。

英文摘要：

Aim To study a class of minimax fractional programming problems.Methods The kuhn-tucker type sufficient conditions is given under the assumptions of（C,α,ρ,d）-V-convexity.Results A kind of duality model was formulated.Conclusion Weak duality,strong duality and converse duality theorems are proved under the assumption of（C,α,ρ,d）-V-convexity.

同期刊论文项目
L-函数的均值及其有关问题
期刊论文 89
同项目期刊论文
Pell数平方倒数的无限和(英文)
关于三项指数和的四次均值问题
关于特定幸福立方数列
Some identities related to Dedekind sums and the second-order linear recurrence polynomials
A note on the Diophantine equation (a^n-1)(b^n-1)=x^2
On the mean value of general k-th Gauss sums
Some formulae of products of the Apostol-Bernoulli and Apostol-Euler polynomials
ecurrence formulae for Apostol-Bernoulli and Apostol-Euler polynomials
New symmetric identities involving the Eulerian polynomials
关于四次及六次混合指数和的均值
On the mean value of dedekind sum weighted by the quadratic gauss sum
Two identities related to dirichlet character of polynomials
A CONVOLUTION FORMULA FOR BERNOULLI POLYNOMIALS
On the Smarandache-Pascal derived sequences of generalized Tribonacci numbers
On the Smarandache-Pascal derived sequences and some of their conjectures
A note on the twisted Lerch type Euler zeta functions
Hybrid mean value of the generalized Kloosterman sums and Dirichlet character of polynomials
A sum analogous to the high-dimensional Kloosterman sums and its upper bound estimate
An identity involving certain Hardy sums and Ramanujan’s sum
Symmetric identities for Carlitz’s q-Bernoulli numbers and polynomials
Some estimate of character sums and its applications
The exponential Lebesgue-Nagell equation X^2 + P^2m = Y^n
关于三次Diophantine方程x~3-1=2py~2
On the Dedekind sums and the quadratic Gauss sums
An identity involving Dedekind sums and generalized Kloosterman sums
The mean value involving Dedekind sums and two-term exponential sums
The sums of reciprocal of Fibonacci polynomials and Lucas polynomials
Some identities involving Fibonacci, Lucas polynomials and their applications
The diophantine equation $x^2+2^a\cdot 17^b=y^n$
A note on the number of solutions of the generalized Ramanujan-Nagell equation $x^2-D=p^n$
A new sum and its mean value
Powerful numbers in (1^k+1)(2^k+1)...(n^k+1)
A MEAN VALUE RELATED TO D. H. LEHMER'S PROBLEM AND THE RAMANUJAN'S SUM
The sums of the reciprocals of Fibonacci polynomials and Lucas polynomials
ON THE MEAN VALUES OF L(1, chi)
On Lehmer's problem and Dedekind sums
A HYBRID MEAN VALUE RELATED TO CERTAIN HARDY SUMS AND KLOOSTERMAN SUMS
On hybrid mean value of Dedekind sums and two-term exponential sums
Some sum relations involving Bernoulli and Euler polynomials
On the Fourth Power Mean of a Sum Analogues to Character Sums Over Short Intervals
ON THE 2k-TH POWER MEAN VALUE OF THE GENERALIZED QUADRATIC GAUSS SUMS
A Hybrid Mean Value Related to the Dedekind Sums and Kloosterman Sums
On the hybrid mean value of Cochrane sums and generalized Kloosterman sums
Second moments of Dirichlet L-functions weighted by Kloostermann sums
The infinite sum of reciprocal Pell numbers
Upper bound estimate of character sums over Lehmer’s numbers
ON THE HYBRID MEAN VALUE OF COCHRANE SUMS AND TWO-TERM EXPONENTIAL SUMS
The divisibility of the class number of the imaginary quadratic field Q(\sqrt{2^{2m}-k^n})
关于Abel差集的一个猜想
Smarandache对偶函数的一个计算公式
广义Smarandache幂和函数的均值
方程x3＋1=3py2有正整数解的必要条件
关于Smarandache双阶乘对偶函数的四次加权均值
三项纯指数Diophantine方程的一点注记
由D.H.Lehmer问题生成的伪随机二进制数列
关于混合补数序列的均值性质
一类含参数的二元二次Diophantine方程
关于Pell数的Diophantine方程x2＋U_ny=V_nz
关于斐波那契数列倒数的有限和
关于F.Smarandache函数的两个方程
一个包含算术函数最小公倍数积的方程
关于Bernoulli和Euler多项式的一个注记
关于Smarandache结构数列
一个新的Smarandache函数的均值
关于Terai猜想的一点注记
关于Nicol数的两个问题
关于不定方程x~3＋1=91y~2
Smarandache 3n数字数列及其渐近性质
一个算术函数方程及其正整数解
关于短区间中D.H.Lehmer问题的均值
包含Smarandache对偶函数的方程的正整数解
一类Smarandache方程的可解性问题
关于Fermat素数与L-函数的加权均值
区域环境管理指标体系研究与水平评价——以大渡口区为例
一类与伪Smarandache函数相关的函数方程
布尔代数的直觉T-S模糊子代数的直积
广义Fibonacci函数的整数值
关于SLRNN数列及其均值性质
亲和数的最小素因数
方程x3-8＝py2有本原正整数解的判别条件
Smarandache Ceil函数的均值
关于两个新数论函数的Dirichlet级数
关于商高数的Jesmanowicz猜想
关于不定方程x3-1=73qy2的整数解
期刊信息
  • 《西北大学学报：自然科学网络版》
  • 主管单位:
  • 主办单位:
  • 主编：姚运
  • 地址：西安市太白北路299号
  • 邮编：710069
  • 邮箱：
  • 电话：029-88303833
  • 国际标准刊号：ISSN：1000-274X
  • 国内统一刊号：ISSN：61-1072/N
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:16