关于s-凸函数的Hermite-Hadamard型积分不等式的推广

doi:10.13371/j.cnki.chin.q.j.m.2018.03.006

数学季刊 ›› 2018, Vol. 33 ›› Issue (3): 278-286.doi: 10.13371/j.cnki.chin.q.j.m.2018.03.006

关于s-凸函数的Hermite-Hadamard型积分不等式的推广

College of Light Industry Science and Engineering, Shaanxi University of Science & Technology. College of Electrical &Information Engineering, Shaanxi University of Science & Technology.

接受日期:2016-10-31 出版日期:2018-09-30 发布日期:2020-10-08
作者简介:LIAN Tie-yan(1978-), female, native of Weinan, Shaanxi, a lecturer of Shaanxi University of Science & Technology, M.S.D., engages in operator theory
基金资助:
Supported by the key scientific and technological innovation team project in shaanxi province(2014KCT-15)； the Foundations of Shaanxi Educational committee(NO.18Jk0152)；

Generalizations of Hermite-Hadamard Type Inequalities Involving S-convex Functions

College of Light Industry Science and Engineering, Shaanxi University of Science & Technology. College of Electrical &Information Engineering, Shaanxi University of Science & Technology.

Accepted:2016-10-31 Online:2018-09-30 Published:2020-10-08
About author:LIAN Tie-yan(1978-), female, native of Weinan, Shaanxi, a lecturer of Shaanxi University of Science & Technology, M.S.D., engages in operator theory
Supported by:
Supported by the key scientific and technological innovation team project in shaanxi province(2014KCT-15)； the Foundations of Shaanxi Educational committee(NO.18Jk0152)；

摘要/Abstract

摘要： Some new Hermite-Hadamard type’s integral equations and inequalities are established. The results in [3] and [6] which refined the upper bound of distance between the middle and left of the typical Hermite-Hadamard’s integral inequality are generalized.

关键词: Hermite-Hadamard's integral inequality, s-convex function, H?older's integral inequality

Abstract: Some new Hermite-Hadamard type’s integral equations and inequalities are established. The results in [3] and [6] which refined the upper bound of distance between the middle and left of the typical Hermite-Hadamard’s integral inequality are generalized.

Key words: Hermite-Hadamard's integral inequality, s-convex function, H?older's integral inequality

中图分类号:

O174.13

连铁艳, 汤伟. 关于s-凸函数的Hermite-Hadamard型积分不等式的推广[J]. 数学季刊, 2018, 33(3): 278-286.

LIAN Tie-yan , TANG Wei. Generalizations of Hermite-Hadamard Type Inequalities Involving S-convex Functions[J]. Chinese Quarterly Journal of Mathematics, 2018, 33(3): 278-286.

[1]	林清英, 黄龙光. 测地E-拟凸函数和测地E-图[J]. 数学季刊, 2015, 30(2): 184-189.
[2]	余丽. 内部锥类凸集值优化问题的严有效性[J]. 数学季刊, 2011, 26(4): 505-510.
[3]	黄龙光. 凸体诱导的对称函数[J]. 数学季刊, 2011, 26(1): 1-6.
[4]	全靖, 龙宪军, 彭再云, 谭英双. 半E预不变凸函数的性质和应用[J]. 数学季刊, 2010, 25(3): 436-443.

关于s-凸函数的Hermite-Hadamard型积分不等式的推广

Generalizations of Hermite-Hadamard Type Inequalities Involving S-convex Functions

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