1)  the concavity method
					 
	
					
				
				 
	
					
				凸性原理
			
					2)  ideal convexity
					 
	
					
				
				 
	
					
				理想凸性
				1.
					The ordinary convexity,geometrical convexity,logarithmical convexity and the exponential convexity are mentioned in the first two sections;the ideal convexity,integral convexity and the β-convextiy are presented in the central three sections;for the more generalized convexties are briefly introduced in the last section.
						
						本文第一节简述通常凸性概念及其在不等式理论方面的几个简单应用,第二节简介几何凸性、对数凸性、指数凸性及其与通常凸性之间的相互关系;第三节介绍集合与函数的理想凸性;第四节简介由笔者首创的积分凸性及其进展。
					
					3)  concavity theory
					 
	
					
				
				 
	
					
				凸性引理
			
					4)  protrusion theorems
					 
	
					
				
				 
	
					
				凸性定理
			
					5)  axiom of convexity
					 
	
					
				
				 
	
					
				凸性公理
			
					6)  rational convexity
					 
	
					
				
				 
	
					
				有理凸性
	补充资料:凸凸
		1.高出貌。
		
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