Here some applications of average value inequality on the proof of inequality and integral are presented.
均值不等式在不等式理论中的地位非常重要,均值不等式在不等式的证明中有很多功能,如均值不等式的降幂功能、并项功能、放缩功能等等,利用这些功能可以在证明不等式中简化证明,显得简单有力。
Extension and Application of the Average Inequality;
均值不等式的推广及应用
Two proofs based on two lemmas for average inequality was discussed in this paper.
给出二个引理并用递降法给出均值不等式以别致而合理的证
numerical symbols; a very simple numeric code; numerical equations.
数字符号；非常简单的数字代码；数值等式。
Arithmetic of Fuzzy Number and Fuzzy Value Function with Equality Constraints
模糊数和模糊值函数的等式限定运算
The Generalization with High Order of Bernoulli s Inequality and Numerical Authentication;
贝努利不等式的高阶推广和数值验证
The Convex Function and Generalized Mean-inequality (Ⅱ);
凸函数与平均值不等式的推广(Ⅱ)
How to Prove the Equality With Derivate Value Containing “Intermediate Point”by Structuring Auxiliary Function;
如何构造辅助函数证明含有“中值点”的导数值的等式
Equality with respect to the net number of reduced symbolic quantities on each side of an equation.
平衡式在等式两边有关约减符号数量的净值均等
The weighted arithmetic-geometric mean inequality is a very important inequality in mathematics.
加权算术——几何平均值不等式是数学中的一个重要不等式。
Returns the smallest value for which the cumulative binomial distribution is greater than or equal to a criterion value
返回一个数值, 它是使得二项式分布在这点的函数值大于等于临界值 α的最小整数值
Numerical Studies on Resistive Wall Modes Driven by Plasma Flows;
等离子体流驱动的电阻壁模式的数值研究
Variational Inequalities for the Plane Elastic Contact Problems and Its Numerical Solution;
平面弹性接触问题的变分不等式及其数值解
An Example Teaching Plan of the New Mathematics Curriculum: The Inequaity of Average Value;
高中数学新课程“均值不等式”单元的教学设计
Study on Numerical Methods for Cone Constrained Variational Inequality Problems;
锥约束变分不等式问题的数值方法的研究
The Application of Mean Value Inequality to the Proof of A Group of Convergence of Series;
均值不等式在一类数列收敛证明中的应用
The Numerical Method for a Kind of Evolutionary Variational Inequality of Order 4
一类四阶发展型变分不等式的数值方法
Equalities for Eigenvalues of Sturm-Liouville Problems with Sign Change of the Leading Coefficient
首项系数变号的Sturm-Liouville问题的特征值等式
Inequalities for Eigenvalues for Sturm-Liouville Problems with Change Sign Leading Coefficient
首项系数变号的Sturm-Liouville问题的特征值不等式
Equality, as in amount, status, or value.
相等，等值如在数量、地位或价值上相等
Betti Numbers of the Equal Value Surface of a Bott Function;
Bott函数等值面的Betti数