关于(h,m)-凸函数乘积的Hadamard-型不等式及应用

作者:孙文兵 刊名:中国科学院大学学报 上传者:屈红林

【摘要】建立一些关于(h,m)-凸函数乘积的新Hadamard-型不等式,得到的结果是对通常凸性、第2种意义下的s-凸性、m-凸性、h-凸性意义下的Hadamard-型不等式的推广.

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第35卷第2期 中国科学院大学学报 Vol-35 No·2 201 8年3月 Journal of University of Chinese Academy of Sciences March 201 8 文章编号:2095—6134(2018)02—0145-09 Hadamard--type inequalities for products of (h,m).convex functions and their applications木 SUN Wenbing i (School of Science,Shaoyang University, (Received 30 December 2016: Shaoyang 422000,Hunan,China) Revised 13 April 2017) Hadamard.type inequalities for products of(^,m)-convex functions and their applications[J].Journal of University of Chinese Academy of Sciences,2018,35(2):145-153. Abstract In this paper,we established some new Hadamard-type inequalities for products of(h, ,n).convex functions,which are the extended Hadamard-type inequalities for ordinary convexity sense.s.convexity in the second sense,m—convexity sense,and^一convexity sense. Keywords Hadamard’S inequality;convex functions;(h,m)一convex functions;product of two functions CLC number:0178 Document code:A doi:10.7523/j.issn.2095—6134.2018.02.001 关于(h,m)一凸函数乘积的Hadamard-型不等式及应用 孙文兵 (邵阳学院理学院,湖南邵阳422000) 摘 要 建立一些关于(h,m)一凸函数乘积的新Hadamard一型不等式,得到的结果是对通常凸 性、第2种意义下的s.凸性、m.凸性、h-凸性意义下的Hadamard一型不等式的推广. 关键词Hadamard不等式;凸函数;(h,m)一凸函数;2个函数乘积 In recent years,the concept of convex function has been extended by some scholars.For example, Breckner⋯introduced the concept of s—convexity. and Vam蔷anec[2]deftned h-convex functions. Some results for Hadamard—type extended convex functions inequalities related to the have been obtained E3—7。. 1 Background knowledge In 2011,0zdemir et a1.‘81 presented t

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