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《College Mathematics》 2018-01
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The Improvement of Hermite-Hadamard Type Inequality for Square Convex Functions

SHI Tong-ye;QIN Hua;WU Han;Department of Information,PLA Naval Command College;  
By using the relationships between square convex functions and convex functions,we prove the existence and monotonicity of unilateral derivative of square convex functions and build the relationships between square convex functions and their unilateral derivative by inequality.On the basis of this,not only the improvement of the integral lower bound of square convex functions but also the new lower bound is obtained.The estimations of the difference generated by Hermite-Hadamard type inequality of square convex functions are given.
【Fund】: 海军指挥学院导师及研究生优质课程资助
【CateGory Index】: O174.13;O178
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