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

LIAN Tie-yan , TANG Wei

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

Chinese Quarterly Journal of Mathematics >

2018 , Vol. 33 >Issue 3: 278 - 286

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.03.006

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

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

LIAN Tie-yan(1978-), female, native of Weinan, Shaanxi, a lecturer of Shaanxi University of Science & Technology, M.S.D., engages in operator theory

Accepted date: 2016-10-31

Online published: 2020-10-08

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)；

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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

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

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