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›› 2018, Vol. 35 ›› Issue (2): 145-153.DOI: 10.7523/j.issn.2095-6134.2018.02.001

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

SUN Wenbing   

  1. School of Science, Shaoyang University, Shaoyang 422000, Hunan, China
  • Received:2016-12-30 Revised:2017-04-13 Online: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.

Key words: Hadamard's inequality, convex functions, (h,m)-convex functions, product of two functions

CLC Number: