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《Studies in College Mathematics》 2018-05
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Criteria for Convex Function by Using Non-differentiable Condition

CHENG Rong;WU Yijia;Department of Mathematics,Nanjing University of Information Science and Technology;  
Two commonly used definitions for convex functions are given.The equivalence of the two definitions is proved under the continuity assumption.Geometric and integral criteria are also given.Finally,an interesting differentiable criteria for convex function is given.
【Fund】: 国家自然科学基金(11671077)
【CateGory Index】: O174.13
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