JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (4): 81-89.doi: 10.6040/j.issn.1671-9352.0.2022.622

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Some generalizations of Ostrowski type fractional integral inequalities

Xiaonan DANG(),Tieyan LIAN*(),Ran LI   

  1. School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xi'an 710021, Shaanxi, China
  • Received:2022-11-28 Online:2024-04-20 Published:2024-04-12
  • Contact: Tieyan LIAN E-mail:1067641420@qq.com;liantieyan@sust.edu.cn

Abstract:

By using the definitions of k-β-convex functions and preinvex functions, the definition of strong k-β-preinvex functions is proposed. Based on constructing a k-Riemann-Liouville fractional integral identity, the properties of strong k-β-preinvex functions and some methods of integral inequalities, some Ostrowski type inequalities for strong k-β-preinvex functions via k-Riemann-Liouville fractional integral are established.

Key words: Ostrowski type inequality, strong k-β-preinvex function, k-Riemann-Liouville fractional integral, Hölder inequality, power mean inequality

CLC Number: 

  • O178
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