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On Co-ordinated Quasi-Convex Functions
co-ordinates quasi-convex Wright-quasi-convex Jensen-quasiconvex
2011/2/21
In this paper, we give some definitions on quasi-convex functions and we prove inequalities contain J-quasi-convex and W-quasi-convex functions.We give also some inclusions.
On norm sub-additivity and super-additivity inequalities for concave and convex functions
Matrix Norm Inequality Positive Semidefinite Matrix Convex
2011/1/20
Sub-additive and super-additive inequalities for concave and convex functions have been generalized to the case of matrices by several authors over a period of time.These lead to some interesting ineq...
The Curse of Dimensionality for Monotone and Convex Functions of Many Variables
Convex Functions Many Variables
2010/11/22
We study the integration and approximation problems for monotone and convex bounded functions that depend on $d$ variables, where $d$ can be arbitrarily large. We consider the worst case error for al...