The Generalization on Inequalities of Hermite-Hadamard's Integration

LIAN Tie-yan, TANG Wei

doi:10.13371/j.cnki.chin.q.j.m.2017.01.004

Chinese Quarterly Journal of Mathematics >

2017 , Vol. 32 >Issue 1: 34 - 41

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.01.004

The Generalization on Inequalities of Hermite-Hadamard's Integration

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College of Bioresources Chemical and Materials Engineering,Shaanxi University of Science and Technology. College of Electrical and Information Engineering,Shaanxi University of Science and Technology

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

Received date: 2015-09-24

Online published: 2020-10-26

Supported by

Supported by the Key Scientific and Technological Innovation Team Project in Shaanxi Province(2014KCT-15)；

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Abstract

Some new inequalities of Hermite-Hadamard’s integration are established. As for as inequalities about the righthand side of the classical Hermite-Hadamard’s integral inequality refined by S Qaisar in [3], a new upper bound is given. Under special conditions,the bound is smaller than that in [3].

Key words： Hermite-Hadamard's integral inequality; convex function; the H?older's integral inequality; third derivative

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LIAN Tie-yan, TANG Wei . The Generalization on Inequalities of Hermite-Hadamard's Integration[J]. Chinese Quarterly Journal of Mathematics, 2017 , 32(1) : 34 -41 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.01.004

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