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有关具有有界二阶导数的函数的赫米特-哈达玛型不等式

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Proceedings of the Jangjeon Mathematical Society, 19 (2016), No. 1. pp. 135-144.



HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WITH A BOUNDED SECOND DERIVATIVE


HUAN-NAN SHI


Abstract: By applying results from the theory of majorization, some new inequalities of Hermite-Hadamard type for functions with a bounded second derivative are established.


Key words and phrases: Hermite-Hadamard type inequality, majorization, second derivative.


2000 Mathematics Subject Classification: Primary 26A51; Secondary 26B25, 26D15


Hermite-Hadamard type inequalities for functions with a bounded second derivative.pdf




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