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Hadamard-type inequalities for products of (h, m)-convex functions and their applications

  • SUN Wenbing
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  • School of Science, Shaoyang University, Shaoyang 422000, Hunan, China

Received date: 2016-12-30

  Revised date: 2017-04-13

  Online published: 2018-03-15

Supported by

Supported by National Natural Science Foundation of China (61672356) and Natural Science Foundation of Hunan Province(12JJ3008)

Abstract

In this paper, we established some new Hadamard-type inequalities for products of (h, m)-convex functions, which are the extended Hadamard-type inequalities for ordinary convexity sense, s-convexity in the second sense, m-convexity sense, and h-convexity sense.

Cite this article

SUN Wenbing . Hadamard-type inequalities for products of (h, m)-convex functions and their applications[J]. Journal of University of Chinese Academy of Sciences, 2018 , 35(2) : 145 -153 . DOI: 10.7523/j.issn.2095-6134.2018.02.001

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