1. Convex function is an significant type of function.

2. Convex function plays an important role in mathematical programming.

3. I generalized the convex function from special to general.

4. Convex function of demand, convex distribution of price and an optimal model for coexistence of multi-prices are established.

5. As applications of majorizing inequality of convex function of several variables, some majorizing inequalities of eigenvalue and singular value of matrix are obtained.

6. There are convex function and concave function, Which are of expansive application in many aspects, especially in inequality proof and error estimate.

7. The paper uses the Convex Function to form the order Statistics and the Linear Rank Statistics, and prove the asymptotic normality of the statistics.

8. The loss functions are convex function and have risk optimize control strategies have been proved.

9. In this paper, we use the convex function to form the order statistic and the linear rank statistic, and the asymptotic normality of the statistics are proved.

10. Infinitely many convex functions with quality factors better than that of the convex function in entropy were discovered.

11. The loss functions are convex function and have risk optimize control stra...

12. Third, a nonlinear programming model is given for the coexistence of multi-prices on the basis of the convex function model.

13. This article gives a spreading form of the mean value theorem of differential and applies the gained results to the quality of convex function.

14. This paper proves the equivalent relation of two definitions of convex function.

15. This paper discusses the relationship between quasi-concave and pseudo-convex in the generalized convex function in the Linear topological space and offers some conditions of equivalence.

16. In this paper, we establish an inequality by using convex function and differential-theory, by using the inequality which extend inequality based on exponent in.

17. The two - parameters weighted mean in defined and an inequality for two - parameters weighted mean of convex function is prove, they have generalized and improved the results in literatures.

18. The results show that the fiber with chromatic dispersion that is a convex function of wavelength in normal dispersion region is favorable for generating a flat SC spectrum.

19. Here we discuss its properties basing on the definition of the strong pseudoconvex function, and give its relationship with strong convex function.

20. Through research on the nature of a certain closed subinterval on convex function, this paper draws a theorem about the discrimination of convex function.

21. According to the character of expected information, the article proposed a new ID3 algorithm of decision trees to reduce the complexity of computing expected information by the convex function.