Journal of Jishou University(Natural Sciences Edition)

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Hermite-Hadamard-Fejér Inequalities of Two Classes of Convex Functions

ZENG Zhihong,SHI Tongye,CAO Junfei   

  1. (1.Editorial Department of Journal,Guangdong University of Education,Guangzhou 510303,China;2.PLA Naval Command College,Nanjin 211800,China;3.Department of Mathematics,Guangdong University of Education,Guangzhou 510303,China)
  • Online:2019-01-25 Published:2019-01-26


This paper introduces a method to establish the first Hermite-Hadamard-Fejé type inequality,and illustrates this method by establishing the first Hermite-Hadamard type inequality of GA-convex functions.With this method,the first Hermite-Hadamard-Fejér type inequalities of two classes of convex functions are established.The first Hermite-Hadamard-Fejér type inequalities of η-convex functions and generalized geometrically convex functions are also obtained as particular cases.

Key words: Hermite-Hadamard-Fejé, type inequality;Hermite-Hadamard type inequality;GA-convex function;η-convex function;generalized geometrically convex function

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